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Finding the Third Proportional to 71,872,854 and 156,338,572

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Solution

The third proportional to 71,872,854 and 156,338,572 is: 340,069,271.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,872,854 : 156,338,572 = 156,338,572 : x
  2. Step 2: Convert to fraction form
    71,872,854/156,338,572 = 156,338,572/x
  3. Step 3: Cross multiply
    71,872,854x = 156,338,572 × 156,338,572
  4. Step 4: Simplify right side
    71,872,854x = 24,441,749,094,999,184
  5. Step 5: Solve for x
    x = 24,441,749,094,999,184/71,872,854
  6. Step 6: Final answer
    x = 340,069,271.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.