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Finding the Third Proportional to 42,977,976 and 92,762,106

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Solution

The third proportional to 42,977,976 and 92,762,106 is: 200,214,368.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,977,976 : 92,762,106 = 92,762,106 : x
  2. Step 2: Convert to fraction form
    42,977,976/92,762,106 = 92,762,106/x
  3. Step 3: Cross multiply
    42,977,976x = 92,762,106 × 92,762,106
  4. Step 4: Simplify right side
    42,977,976x = 8,604,808,309,555,236
  5. Step 5: Solve for x
    x = 8,604,808,309,555,236/42,977,976
  6. Step 6: Final answer
    x = 200,214,368.16

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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.