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Finding the Third Proportional to 69,445,748 and 102,250,002

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Solution

The third proportional to 69,445,748 and 102,250,002 is: 150,550,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,445,748 : 102,250,002 = 102,250,002 : x
  2. Step 2: Convert to fraction form
    69,445,748/102,250,002 = 102,250,002/x
  3. Step 3: Cross multiply
    69,445,748x = 102,250,002 × 102,250,002
  4. Step 4: Simplify right side
    69,445,748x = 10,455,062,909,000,004
  5. Step 5: Solve for x
    x = 10,455,062,909,000,004/69,445,748
  6. Step 6: Final answer
    x = 150,550,079.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.