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Finding the Third Proportional to 138,417,708 and 326,748,232.50

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Solution

The third proportional to 138,417,708 and 326,748,232.50 is: 771,320,440.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,417,708 : 326,748,232.50 = 326,748,232.50 : x
  2. Step 2: Convert to fraction form
    138,417,708/326,748,232.50 = 326,748,232.50/x
  3. Step 3: Cross multiply
    138,417,708x = 326,748,232.50 × 326,748,232.50
  4. Step 4: Simplify right side
    138,417,708x = 106,764,407,441,874,064
  5. Step 5: Solve for x
    x = 106,764,407,441,874,064/138,417,708
  6. Step 6: Final answer
    x = 771,320,440.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.