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Finding the Third Proportional to 71,713,088 and 156,803,647

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Solution

The third proportional to 71,713,088 and 156,803,647 is: 342,857,690.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,713,088 : 156,803,647 = 156,803,647 : x
  2. Step 2: Convert to fraction form
    71,713,088/156,803,647 = 156,803,647/x
  3. Step 3: Cross multiply
    71,713,088x = 156,803,647 × 156,803,647
  4. Step 4: Simplify right side
    71,713,088x = 24,587,383,712,500,608
  5. Step 5: Solve for x
    x = 24,587,383,712,500,608/71,713,088
  6. Step 6: Final answer
    x = 342,857,690.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.