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Finding the Third Proportional to 165,626,720 and 348,387,491

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Solution

The third proportional to 165,626,720 and 348,387,491 is: 732,815,598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626,720 : 348,387,491 = 348,387,491 : x
  2. Step 2: Convert to fraction form
    165,626,720/348,387,491 = 348,387,491/x
  3. Step 3: Cross multiply
    165,626,720x = 348,387,491 × 348,387,491
  4. Step 4: Simplify right side
    165,626,720x = 121,373,843,885,275,088
  5. Step 5: Solve for x
    x = 121,373,843,885,275,088/165,626,720
  6. Step 6: Final answer
    x = 732,815,598.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.