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Finding the Third Proportional to 202,446,583,058.25 and 435,360,678,646.50

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Solution

The third proportional to 202,446,583,058.25 and 435,360,678,646.50 is: 936,241,637,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446,583,058.25 : 435,360,678,646.50 = 435,360,678,646.50 : x
  2. Step 2: Convert to fraction form
    202,446,583,058.25/435,360,678,646.50 = 435,360,678,646.50/x
  3. Step 3: Cross multiply
    202,446,583,058.25x = 435,360,678,646.50 × 435,360,678,646.50
  4. Step 4: Simplify right side
    202,446,583,058.25x = 189,538,920,511,541,046,411,264
  5. Step 5: Solve for x
    x = 189,538,920,511,541,046,411,264/202,446,583,058.25
  6. Step 6: Final answer
    x = 936,241,637,909.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.