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Finding the Third Proportional to 83,583,216 and 126,638,928

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Solution

The third proportional to 83,583,216 and 126,638,928 is: 191,873,666.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,583,216 : 126,638,928 = 126,638,928 : x
  2. Step 2: Convert to fraction form
    83,583,216/126,638,928 = 126,638,928/x
  3. Step 3: Cross multiply
    83,583,216x = 126,638,928 × 126,638,928
  4. Step 4: Simplify right side
    83,583,216x = 16,037,418,084,989,184
  5. Step 5: Solve for x
    x = 16,037,418,084,989,184/83,583,216
  6. Step 6: Final answer
    x = 191,873,666.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.