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Finding the Third Proportional to 148,034,359.50 and 320,780,712

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Solution

The third proportional to 148,034,359.50 and 320,780,712 is: 695,110,686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,034,359.50 : 320,780,712 = 320,780,712 : x
  2. Step 2: Convert to fraction form
    148,034,359.50/320,780,712 = 320,780,712/x
  3. Step 3: Cross multiply
    148,034,359.50x = 320,780,712 × 320,780,712
  4. Step 4: Simplify right side
    148,034,359.50x = 102,900,265,191,226,944
  5. Step 5: Solve for x
    x = 102,900,265,191,226,944/148,034,359.50
  6. Step 6: Final answer
    x = 695,110,686.05

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Why These Related Problems?

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