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Finding the Third Proportional to 176,315,793.75 and 411,726,235.50

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Solution

The third proportional to 176,315,793.75 and 411,726,235.50 is: 961,448,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,793.75 : 411,726,235.50 = 411,726,235.50 : x
  2. Step 2: Convert to fraction form
    176,315,793.75/411,726,235.50 = 411,726,235.50/x
  3. Step 3: Cross multiply
    176,315,793.75x = 411,726,235.50 × 411,726,235.50
  4. Step 4: Simplify right side
    176,315,793.75x = 169,518,492,999,001,472
  5. Step 5: Solve for x
    x = 169,518,492,999,001,472/176,315,793.75
  6. Step 6: Final answer
    x = 961,448,145.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.