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Finding the Third Proportional to 107,849,706,188 and 234,471,230,196

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Solution

The third proportional to 107,849,706,188 and 234,471,230,196 is: 509,753,431,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,849,706,188 : 234,471,230,196 = 234,471,230,196 : x
  2. Step 2: Convert to fraction form
    107,849,706,188/234,471,230,196 = 234,471,230,196/x
  3. Step 3: Cross multiply
    107,849,706,188x = 234,471,230,196 × 234,471,230,196
  4. Step 4: Simplify right side
    107,849,706,188x = 54,976,757,789,625,619,054,592
  5. Step 5: Solve for x
    x = 54,976,757,789,625,619,054,592/107,849,706,188
  6. Step 6: Final answer
    x = 509,753,431,259.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.