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Finding the Third Proportional to 57,776,902.83 and 117,571,614.30

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Solution

The third proportional to 57,776,902.83 and 117,571,614.30 is: 239,249,316.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,776,902.83 : 117,571,614.30 = 117,571,614.30 : x
  2. Step 2: Convert to fraction form
    57,776,902.83/117,571,614.30 = 117,571,614.30/x
  3. Step 3: Cross multiply
    57,776,902.83x = 117,571,614.30 × 117,571,614.30
  4. Step 4: Simplify right side
    57,776,902.83x = 13,823,084,489,521,818
  5. Step 5: Solve for x
    x = 13,823,084,489,521,818/57,776,902.83
  6. Step 6: Final answer
    x = 239,249,316.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.