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Finding the Third Proportional to 98,395,440.75 and 227,791,666.13

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Solution

The third proportional to 98,395,440.75 and 227,791,666.13 is: 527,352,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,395,440.75 : 227,791,666.13 = 227,791,666.13 : x
  2. Step 2: Convert to fraction form
    98,395,440.75/227,791,666.13 = 227,791,666.13/x
  3. Step 3: Cross multiply
    98,395,440.75x = 227,791,666.13 × 227,791,666.13
  4. Step 4: Simplify right side
    98,395,440.75x = 51,889,043,156,003,472
  5. Step 5: Solve for x
    x = 51,889,043,156,003,472/98,395,440.75
  6. Step 6: Final answer
    x = 527,352,108.60

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.