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Finding the Third Proportional to 176,315,643 and 411,725,902.50

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Solution

The third proportional to 176,315,643 and 411,725,902.50 is: 961,447,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,315,643 : 411,725,902.50 = 411,725,902.50 : x
  2. Step 2: Convert to fraction form
    176,315,643/411,725,902.50 = 411,725,902.50/x
  3. Step 3: Cross multiply
    176,315,643x = 411,725,902.50 × 411,725,902.50
  4. Step 4: Simplify right side
    176,315,643x = 169,518,218,789,439,520
  5. Step 5: Solve for x
    x = 169,518,218,789,439,520/176,315,643
  6. Step 6: Final answer
    x = 961,447,412.75

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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.