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Finding the Third Proportional to 44,730,164 and 97,835,074

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Solution

The third proportional to 44,730,164 and 97,835,074 is: 213,987,628.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730,164 : 97,835,074 = 97,835,074 : x
  2. Step 2: Convert to fraction form
    44,730,164/97,835,074 = 97,835,074/x
  3. Step 3: Cross multiply
    44,730,164x = 97,835,074 × 97,835,074
  4. Step 4: Simplify right side
    44,730,164x = 9,571,701,704,585,476
  5. Step 5: Solve for x
    x = 9,571,701,704,585,476/44,730,164
  6. Step 6: Final answer
    x = 213,987,628.23

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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.