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Finding the Third Proportional to 44,730,198 and 97,835,142

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Solution

The third proportional to 44,730,198 and 97,835,142 is: 213,987,763.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730,198 : 97,835,142 = 97,835,142 : x
  2. Step 2: Convert to fraction form
    44,730,198/97,835,142 = 97,835,142/x
  3. Step 3: Cross multiply
    44,730,198x = 97,835,142 × 97,835,142
  4. Step 4: Simplify right side
    44,730,198x = 9,571,715,010,160,164
  5. Step 5: Solve for x
    x = 9,571,715,010,160,164/44,730,198
  6. Step 6: Final answer
    x = 213,987,763.04

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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.