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Finding the Third Proportional to 71,604,748 and 106,064,538

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Solution

The third proportional to 71,604,748 and 106,064,538 is: 157,108,104.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,604,748 : 106,064,538 = 106,064,538 : x
  2. Step 2: Convert to fraction form
    71,604,748/106,064,538 = 106,064,538/x
  3. Step 3: Cross multiply
    71,604,748x = 106,064,538 × 106,064,538
  4. Step 4: Simplify right side
    71,604,748x = 11,249,686,221,153,444
  5. Step 5: Solve for x
    x = 11,249,686,221,153,444/71,604,748
  6. Step 6: Final answer
    x = 157,108,104.36

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.