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Finding the Third Proportional to 123,371,748 and 270,958,776

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Solution

The third proportional to 123,371,748 and 270,958,776 is: 595,101,062.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,371,748 : 270,958,776 = 270,958,776 : x
  2. Step 2: Convert to fraction form
    123,371,748/270,958,776 = 270,958,776/x
  3. Step 3: Cross multiply
    123,371,748x = 270,958,776 × 270,958,776
  4. Step 4: Simplify right side
    123,371,748x = 73,418,658,291,418,176
  5. Step 5: Solve for x
    x = 73,418,658,291,418,176/123,371,748
  6. Step 6: Final answer
    x = 595,101,062.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.