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Finding the Third Proportional to 109,090,737,789 and 254,885,187,202.50

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Solution

The third proportional to 109,090,737,789 and 254,885,187,202.50 is: 595,526,806,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,737,789 : 254,885,187,202.50 = 254,885,187,202.50 : x
  2. Step 2: Convert to fraction form
    109,090,737,789/254,885,187,202.50 = 254,885,187,202.50/x
  3. Step 3: Cross multiply
    109,090,737,789x = 254,885,187,202.50 × 254,885,187,202.50
  4. Step 4: Simplify right side
    109,090,737,789x = 64,966,458,655,253,473,525,760
  5. Step 5: Solve for x
    x = 64,966,458,655,253,473,525,760/109,090,737,789
  6. Step 6: Final answer
    x = 595,526,806,142.88

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.