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Finding the Third Proportional to 127,878,516 and 186,962,863

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Solution

The third proportional to 127,878,516 and 186,962,863 is: 273,346,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878,516 : 186,962,863 = 186,962,863 : x
  2. Step 2: Convert to fraction form
    127,878,516/186,962,863 = 186,962,863/x
  3. Step 3: Cross multiply
    127,878,516x = 186,962,863 × 186,962,863
  4. Step 4: Simplify right side
    127,878,516x = 34,955,112,141,156,768
  5. Step 5: Solve for x
    x = 34,955,112,141,156,768/127,878,516
  6. Step 6: Final answer
    x = 273,346,244.82

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.