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Finding the Third Proportional to 156,140,386.86 and 347,191,535.72

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Solution

The third proportional to 156,140,386.86 and 347,191,535.72 is: 772,010,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,140,386.86 : 347,191,535.72 = 347,191,535.72 : x
  2. Step 2: Convert to fraction form
    156,140,386.86/347,191,535.72 = 347,191,535.72/x
  3. Step 3: Cross multiply
    156,140,386.86x = 347,191,535.72 × 347,191,535.72
  4. Step 4: Simplify right side
    156,140,386.86x = 120,541,962,474,744,064
  5. Step 5: Solve for x
    x = 120,541,962,474,744,064/156,140,386.86
  6. Step 6: Final answer
    x = 772,010,143.56

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.