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Finding the Third Proportional to 44,865,471 and 97,604,142

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Solution

The third proportional to 44,865,471 and 97,604,142 is: 212,336,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,865,471 : 97,604,142 = 97,604,142 : x
  2. Step 2: Convert to fraction form
    44,865,471/97,604,142 = 97,604,142/x
  3. Step 3: Cross multiply
    44,865,471x = 97,604,142 × 97,604,142
  4. Step 4: Simplify right side
    44,865,471x = 9,526,568,535,556,164
  5. Step 5: Solve for x
    x = 9,526,568,535,556,164/44,865,471
  6. Step 6: Final answer
    x = 212,336,309.49

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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.