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Finding the Third Proportional to 100,544,070.94 and 216,494,991.56

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Solution

The third proportional to 100,544,070.94 and 216,494,991.56 is: 466,164,547.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,544,070.94 : 216,494,991.56 = 216,494,991.56 : x
  2. Step 2: Convert to fraction form
    100,544,070.94/216,494,991.56 = 216,494,991.56/x
  3. Step 3: Cross multiply
    100,544,070.94x = 216,494,991.56 × 216,494,991.56
  4. Step 4: Simplify right side
    100,544,070.94x = 46,870,081,371,646,944
  5. Step 5: Solve for x
    x = 46,870,081,371,646,944/100,544,070.94
  6. Step 6: Final answer
    x = 466,164,547.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.