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Finding the Third Proportional to 81,652,952 and 120,948,804

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Solution

The third proportional to 81,652,952 and 120,948,804 is: 179,155,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,652,952 : 120,948,804 = 120,948,804 : x
  2. Step 2: Convert to fraction form
    81,652,952/120,948,804 = 120,948,804/x
  3. Step 3: Cross multiply
    81,652,952x = 120,948,804 × 120,948,804
  4. Step 4: Simplify right side
    81,652,952x = 14,628,613,189,030,416
  5. Step 5: Solve for x
    x = 14,628,613,189,030,416/81,652,952
  6. Step 6: Final answer
    x = 179,155,962.29

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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.