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Finding the Third Proportional to 97,098,752 and 207,970,686

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Solution

The third proportional to 97,098,752 and 207,970,686 is: 445,441,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098,752 : 207,970,686 = 207,970,686 : x
  2. Step 2: Convert to fraction form
    97,098,752/207,970,686 = 207,970,686/x
  3. Step 3: Cross multiply
    97,098,752x = 207,970,686 × 207,970,686
  4. Step 4: Simplify right side
    97,098,752x = 43,251,806,235,310,592
  5. Step 5: Solve for x
    x = 43,251,806,235,310,592/97,098,752
  6. Step 6: Final answer
    x = 445,441,422.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.