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Finding the Third Proportional to 149,574,724.31 and 229,765,090.50

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Solution

The third proportional to 149,574,724.31 and 229,765,090.50 is: 352,947,311.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,574,724.31 : 229,765,090.50 = 229,765,090.50 : x
  2. Step 2: Convert to fraction form
    149,574,724.31/229,765,090.50 = 229,765,090.50/x
  3. Step 3: Cross multiply
    149,574,724.31x = 229,765,090.50 × 229,765,090.50
  4. Step 4: Simplify right side
    149,574,724.31x = 52,791,996,812,473,192
  5. Step 5: Solve for x
    x = 52,791,996,812,473,192/149,574,724.31
  6. Step 6: Final answer
    x = 352,947,311.49

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.