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Finding the Third Proportional to 109,090,737,790 and 254,885,187,205

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Solution

The third proportional to 109,090,737,790 and 254,885,187,205 is: 595,526,806,149.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,090,737,790 : 254,885,187,205 = 254,885,187,205 : x
  2. Step 2: Convert to fraction form
    109,090,737,790/254,885,187,205 = 254,885,187,205/x
  3. Step 3: Cross multiply
    109,090,737,790x = 254,885,187,205 × 254,885,187,205
  4. Step 4: Simplify right side
    109,090,737,790x = 64,966,458,656,527,896,018,944
  5. Step 5: Solve for x
    x = 64,966,458,656,527,896,018,944/109,090,737,790
  6. Step 6: Final answer
    x = 595,526,806,149.10

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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.