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Finding the Third Proportional to 83,514,888 and 127,768,428

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Solution

The third proportional to 83,514,888 and 127,768,428 is: 195,471,389.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,514,888 : 127,768,428 = 127,768,428 : x
  2. Step 2: Convert to fraction form
    83,514,888/127,768,428 = 127,768,428/x
  3. Step 3: Cross multiply
    83,514,888x = 127,768,428 × 127,768,428
  4. Step 4: Simplify right side
    83,514,888x = 16,324,771,193,591,184
  5. Step 5: Solve for x
    x = 16,324,771,193,591,184/83,514,888
  6. Step 6: Final answer
    x = 195,471,389.41

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