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Finding the Third Proportional to 47,175,092 and 100,908,295

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Solution

The third proportional to 47,175,092 and 100,908,295 is: 215,844,496.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175,092 : 100,908,295 = 100,908,295 : x
  2. Step 2: Convert to fraction form
    47,175,092/100,908,295 = 100,908,295/x
  3. Step 3: Cross multiply
    47,175,092x = 100,908,295 × 100,908,295
  4. Step 4: Simplify right side
    47,175,092x = 10,182,483,999,807,024
  5. Step 5: Solve for x
    x = 10,182,483,999,807,024/47,175,092
  6. Step 6: Final answer
    x = 215,844,496.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.