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Finding the Third Proportional to 165,571,442 and 348,304,514

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Solution

The third proportional to 165,571,442 and 348,304,514 is: 732,711,106.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,571,442 : 348,304,514 = 348,304,514 : x
  2. Step 2: Convert to fraction form
    165,571,442/348,304,514 = 348,304,514/x
  3. Step 3: Cross multiply
    165,571,442x = 348,304,514 × 348,304,514
  4. Step 4: Simplify right side
    165,571,442x = 121,316,034,472,776,192
  5. Step 5: Solve for x
    x = 121,316,034,472,776,192/165,571,442
  6. Step 6: Final answer
    x = 732,711,106.50

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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.