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Finding the Third Proportional to 114,401,251.13 and 146,888,776.69

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Solution

The third proportional to 114,401,251.13 and 146,888,776.69 is: 188,602,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,401,251.13 : 146,888,776.69 = 146,888,776.69 : x
  2. Step 2: Convert to fraction form
    114,401,251.13/146,888,776.69 = 146,888,776.69/x
  3. Step 3: Cross multiply
    114,401,251.13x = 146,888,776.69 × 146,888,776.69
  4. Step 4: Simplify right side
    114,401,251.13x = 21,576,312,716,750,244
  5. Step 5: Solve for x
    x = 21,576,312,716,750,244/114,401,251.13
  6. Step 6: Final answer
    x = 188,602,069.51

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.