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Finding the Third Proportional to 44,730,288 and 97,835,328

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Solution

The third proportional to 44,730,288 and 97,835,328 is: 213,988,146.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730,288 : 97,835,328 = 97,835,328 : x
  2. Step 2: Convert to fraction form
    44,730,288/97,835,328 = 97,835,328/x
  3. Step 3: Cross multiply
    44,730,288x = 97,835,328 × 97,835,328
  4. Step 4: Simplify right side
    44,730,288x = 9,571,751,404,867,584
  5. Step 5: Solve for x
    x = 9,571,751,404,867,584/44,730,288
  6. Step 6: Final answer
    x = 213,988,146.13

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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.