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Finding the Third Proportional to 106,368,943.50 and 232,916,033.25

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Solution

The third proportional to 106,368,943.50 and 232,916,033.25 is: 510,016,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,368,943.50 : 232,916,033.25 = 232,916,033.25 : x
  2. Step 2: Convert to fraction form
    106,368,943.50/232,916,033.25 = 232,916,033.25/x
  3. Step 3: Cross multiply
    106,368,943.50x = 232,916,033.25 × 232,916,033.25
  4. Step 4: Simplify right side
    106,368,943.50x = 54,249,878,544,915,104
  5. Step 5: Solve for x
    x = 54,249,878,544,915,104/106,368,943.50
  6. Step 6: Final answer
    x = 510,016,145.31

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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.