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Finding the Third Proportional to 100,370,326.50 and 153,440,217

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Solution

The third proportional to 100,370,326.50 and 153,440,217 is: 234,570,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,370,326.50 : 153,440,217 = 153,440,217 : x
  2. Step 2: Convert to fraction form
    100,370,326.50/153,440,217 = 153,440,217/x
  3. Step 3: Cross multiply
    100,370,326.50x = 153,440,217 × 153,440,217
  4. Step 4: Simplify right side
    100,370,326.50x = 23,543,900,193,007,088
  5. Step 5: Solve for x
    x = 23,543,900,193,007,088/100,370,326.50
  6. Step 6: Final answer
    x = 234,570,325.85

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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.