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Finding the Third Proportional to 49,216,983 and 107,697,006

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Solution

The third proportional to 49,216,983 and 107,697,006 is: 235,663,472.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216,983 : 107,697,006 = 107,697,006 : x
  2. Step 2: Convert to fraction form
    49,216,983/107,697,006 = 107,697,006/x
  3. Step 3: Cross multiply
    49,216,983x = 107,697,006 × 107,697,006
  4. Step 4: Simplify right side
    49,216,983x = 11,598,645,101,364,036
  5. Step 5: Solve for x
    x = 11,598,645,101,364,036/49,216,983
  6. Step 6: Final answer
    x = 235,663,472.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.