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Finding the Third Proportional to 109,090,737,795 and 254,885,187,217.50

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Solution

The third proportional to 109,090,737,795 and 254,885,187,217.50 is: 595,526,806,180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,737,795 : 254,885,187,217.50 = 254,885,187,217.50 : x
  2. Step 2: Convert to fraction form
    109,090,737,795/254,885,187,217.50 = 254,885,187,217.50/x
  3. Step 3: Cross multiply
    109,090,737,795x = 254,885,187,217.50 × 254,885,187,217.50
  4. Step 4: Simplify right side
    109,090,737,795x = 64,966,458,662,900,025,262,080
  5. Step 5: Solve for x
    x = 64,966,458,662,900,025,262,080/109,090,737,795
  6. Step 6: Final answer
    x = 595,526,806,180.22

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Why These Related Problems?

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