Home / 106,206,081.38-164,025,752.16

Finding the Third Proportional to 106,206,081.38 and 164,025,752.16

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Solution

The third proportional to 106,206,081.38 and 164,025,752.16 is: 253,323,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206,081.38 : 164,025,752.16 = 164,025,752.16 : x
  2. Step 2: Convert to fraction form
    106,206,081.38/164,025,752.16 = 164,025,752.16/x
  3. Step 3: Cross multiply
    106,206,081.38x = 164,025,752.16 × 164,025,752.16
  4. Step 4: Simplify right side
    106,206,081.38x = 26,904,447,370,423,552
  5. Step 5: Solve for x
    x = 26,904,447,370,423,552/106,206,081.38
  6. Step 6: Final answer
    x = 253,323,039.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.