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Finding the Third Proportional to 73,307,070 and 107,564,184

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Solution

The third proportional to 73,307,070 and 107,564,184 is: 157,829,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,307,070 : 107,564,184 = 107,564,184 : x
  2. Step 2: Convert to fraction form
    73,307,070/107,564,184 = 107,564,184/x
  3. Step 3: Cross multiply
    73,307,070x = 107,564,184 × 107,564,184
  4. Step 4: Simplify right side
    73,307,070x = 11,570,053,679,585,856
  5. Step 5: Solve for x
    x = 11,570,053,679,585,856/73,307,070
  6. Step 6: Final answer
    x = 157,829,983.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.