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Finding the Third Proportional to 207,327,587,148 and 309,632,781,276

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Solution

The third proportional to 207,327,587,148 and 309,632,781,276 is: 462,420,175,527.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,327,587,148 : 309,632,781,276 = 309,632,781,276 : x
  2. Step 2: Convert to fraction form
    207,327,587,148/309,632,781,276 = 309,632,781,276/x
  3. Step 3: Cross multiply
    207,327,587,148x = 309,632,781,276 × 309,632,781,276
  4. Step 4: Simplify right side
    207,327,587,148x = 95,872,459,240,711,259,160,576
  5. Step 5: Solve for x
    x = 95,872,459,240,711,259,160,576/207,327,587,148
  6. Step 6: Final answer
    x = 462,420,175,527.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.