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Finding the Third Proportional to 74,344,743.50 and 161,043,282.50

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Solution

The third proportional to 74,344,743.50 and 161,043,282.50 is: 348,846,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344,743.50 : 161,043,282.50 = 161,043,282.50 : x
  2. Step 2: Convert to fraction form
    74,344,743.50/161,043,282.50 = 161,043,282.50/x
  3. Step 3: Cross multiply
    74,344,743.50x = 161,043,282.50 × 161,043,282.50
  4. Step 4: Simplify right side
    74,344,743.50x = 25,934,938,838,374,808
  5. Step 5: Solve for x
    x = 25,934,938,838,374,808/74,344,743.50
  6. Step 6: Final answer
    x = 348,846,974.48

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