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Finding the Third Proportional to 42,977,981 and 92,762,113

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Solution

The third proportional to 42,977,981 and 92,762,113 is: 200,214,375.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977,981 : 92,762,113 = 92,762,113 : x
  2. Step 2: Convert to fraction form
    42,977,981/92,762,113 = 92,762,113/x
  3. Step 3: Cross multiply
    42,977,981x = 92,762,113 × 92,762,113
  4. Step 4: Simplify right side
    42,977,981x = 8,604,809,608,224,769
  5. Step 5: Solve for x
    x = 8,604,809,608,224,769/42,977,981
  6. Step 6: Final answer
    x = 200,214,375.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.