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Finding the Third Proportional to 66,992,540 and 145,114,597

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Solution

The third proportional to 66,992,540 and 145,114,597 is: 314,337,182.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,992,540 : 145,114,597 = 145,114,597 : x
  2. Step 2: Convert to fraction form
    66,992,540/145,114,597 = 145,114,597/x
  3. Step 3: Cross multiply
    66,992,540x = 145,114,597 × 145,114,597
  4. Step 4: Simplify right side
    66,992,540x = 21,058,246,262,472,408
  5. Step 5: Solve for x
    x = 21,058,246,262,472,408/66,992,540
  6. Step 6: Final answer
    x = 314,337,182.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.