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Finding the Third Proportional to 149,079,201.50 and 318,884,598.50

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Solution

The third proportional to 149,079,201.50 and 318,884,598.50 is: 682,103,111.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,079,201.50 : 318,884,598.50 = 318,884,598.50 : x
  2. Step 2: Convert to fraction form
    149,079,201.50/318,884,598.50 = 318,884,598.50/x
  3. Step 3: Cross multiply
    149,079,201.50x = 318,884,598.50 × 318,884,598.50
  4. Step 4: Simplify right side
    149,079,201.50x = 101,687,387,160,506,208
  5. Step 5: Solve for x
    x = 101,687,387,160,506,208/149,079,201.50
  6. Step 6: Final answer
    x = 682,103,111.21

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Why These Related Problems?

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