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Finding the Third Proportional to 44,865,576 and 97,604,352

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Solution

The third proportional to 44,865,576 and 97,604,352 is: 212,336,726.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,865,576 : 97,604,352 = 97,604,352 : x
  2. Step 2: Convert to fraction form
    44,865,576/97,604,352 = 97,604,352/x
  3. Step 3: Cross multiply
    44,865,576x = 97,604,352 × 97,604,352
  4. Step 4: Simplify right side
    44,865,576x = 9,526,609,529,339,904
  5. Step 5: Solve for x
    x = 9,526,609,529,339,904/44,865,576
  6. Step 6: Final answer
    x = 212,336,726.25

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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.