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Finding the Third Proportional to 258,411,906 and 397,196,878.50

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Solution

The third proportional to 258,411,906 and 397,196,878.50 is: 610,518,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,411,906 : 397,196,878.50 = 397,196,878.50 : x
  2. Step 2: Convert to fraction form
    258,411,906/397,196,878.50 = 397,196,878.50/x
  3. Step 3: Cross multiply
    258,411,906x = 397,196,878.50 × 397,196,878.50
  4. Step 4: Simplify right side
    258,411,906x = 157,765,360,290,143,776
  5. Step 5: Solve for x
    x = 157,765,360,290,143,776/258,411,906
  6. Step 6: Final answer
    x = 610,518,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.