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Finding the Third Proportional to 42,775,478 and 92,369,098

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Solution

The third proportional to 42,775,478 and 92,369,098 is: 199,461,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,775,478 : 92,369,098 = 92,369,098 : x
  2. Step 2: Convert to fraction form
    42,775,478/92,369,098 = 92,369,098/x
  3. Step 3: Cross multiply
    42,775,478x = 92,369,098 × 92,369,098
  4. Step 4: Simplify right side
    42,775,478x = 8,532,050,265,333,604
  5. Step 5: Solve for x
    x = 8,532,050,265,333,604/42,775,478
  6. Step 6: Final answer
    x = 199,461,248.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.