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Finding the Third Proportional to 44,869,680 and 97,600,992

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Solution

The third proportional to 44,869,680 and 97,600,992 is: 212,302,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,869,680 : 97,600,992 = 97,600,992 : x
  2. Step 2: Convert to fraction form
    44,869,680/97,600,992 = 97,600,992/x
  3. Step 3: Cross multiply
    44,869,680x = 97,600,992 × 97,600,992
  4. Step 4: Simplify right side
    44,869,680x = 9,525,953,639,384,064
  5. Step 5: Solve for x
    x = 9,525,953,639,384,064/44,869,680
  6. Step 6: Final answer
    x = 212,302,687.24

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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.