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Finding the Third Proportional to 83,547,068 and 127,721,922

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Solution

The third proportional to 83,547,068 and 127,721,922 is: 195,253,882.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547,068 : 127,721,922 = 127,721,922 : x
  2. Step 2: Convert to fraction form
    83,547,068/127,721,922 = 127,721,922/x
  3. Step 3: Cross multiply
    83,547,068x = 127,721,922 × 127,721,922
  4. Step 4: Simplify right side
    83,547,068x = 16,312,889,359,374,084
  5. Step 5: Solve for x
    x = 16,312,889,359,374,084/83,547,068
  6. Step 6: Final answer
    x = 195,253,882.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.