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Finding the Third Proportional to 169,860,320 and 371,513,448

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Solution

The third proportional to 169,860,320 and 371,513,448 is: 812,563,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,860,320 : 371,513,448 = 371,513,448 : x
  2. Step 2: Convert to fraction form
    169,860,320/371,513,448 = 371,513,448/x
  3. Step 3: Cross multiply
    169,860,320x = 371,513,448 × 371,513,448
  4. Step 4: Simplify right side
    169,860,320x = 138,022,242,044,848,704
  5. Step 5: Solve for x
    x = 138,022,242,044,848,704/169,860,320
  6. Step 6: Final answer
    x = 812,563,181.59

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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.