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Finding the Third Proportional to 100,553,926.50 and 153,753,815.25

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Solution

The third proportional to 100,553,926.50 and 153,753,815.25 is: 235,100,075.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,553,926.50 : 153,753,815.25 = 153,753,815.25 : x
  2. Step 2: Convert to fraction form
    100,553,926.50/153,753,815.25 = 153,753,815.25/x
  3. Step 3: Cross multiply
    100,553,926.50x = 153,753,815.25 × 153,753,815.25
  4. Step 4: Simplify right side
    100,553,926.50x = 23,640,235,703,931,132
  5. Step 5: Solve for x
    x = 23,640,235,703,931,132/100,553,926.50
  6. Step 6: Final answer
    x = 235,100,075.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.