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Finding the Third Proportional to 44,730,174 and 97,835,092

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Solution

The third proportional to 44,730,174 and 97,835,092 is: 213,987,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730,174 : 97,835,092 = 97,835,092 : x
  2. Step 2: Convert to fraction form
    44,730,174/97,835,092 = 97,835,092/x
  3. Step 3: Cross multiply
    44,730,174x = 97,835,092 × 97,835,092
  4. Step 4: Simplify right side
    44,730,174x = 9,571,705,226,648,464
  5. Step 5: Solve for x
    x = 9,571,705,226,648,464/44,730,174
  6. Step 6: Final answer
    x = 213,987,659.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.