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Finding the Third Proportional to 114,858,047.25 and 252,032,971.50

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Solution

The third proportional to 114,858,047.25 and 252,032,971.50 is: 553,035,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,858,047.25 : 252,032,971.50 = 252,032,971.50 : x
  2. Step 2: Convert to fraction form
    114,858,047.25/252,032,971.50 = 252,032,971.50/x
  3. Step 3: Cross multiply
    114,858,047.25x = 252,032,971.50 × 252,032,971.50
  4. Step 4: Simplify right side
    114,858,047.25x = 63,520,618,723,119,816
  5. Step 5: Solve for x
    x = 63,520,618,723,119,816/114,858,047.25
  6. Step 6: Final answer
    x = 553,035,858.12

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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.