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Finding the Third Proportional to 84,874,126.50 and 185,636,810.25

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Solution

The third proportional to 84,874,126.50 and 185,636,810.25 is: 406,025,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,874,126.50 : 185,636,810.25 = 185,636,810.25 : x
  2. Step 2: Convert to fraction form
    84,874,126.50/185,636,810.25 = 185,636,810.25/x
  3. Step 3: Cross multiply
    84,874,126.50x = 185,636,810.25 × 185,636,810.25
  4. Step 4: Simplify right side
    84,874,126.50x = 34,461,025,319,794,504
  5. Step 5: Solve for x
    x = 34,461,025,319,794,504/84,874,126.50
  6. Step 6: Final answer
    x = 406,025,095.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.