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Finding the Third Proportional to 176,569,584 and 380,124,387

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Solution

The third proportional to 176,569,584 and 380,124,387 is: 818,343,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,569,584 : 380,124,387 = 380,124,387 : x
  2. Step 2: Convert to fraction form
    176,569,584/380,124,387 = 380,124,387/x
  3. Step 3: Cross multiply
    176,569,584x = 380,124,387 × 380,124,387
  4. Step 4: Simplify right side
    176,569,584x = 144,494,549,592,125,760
  5. Step 5: Solve for x
    x = 144,494,549,592,125,760/176,569,584
  6. Step 6: Final answer
    x = 818,343,376.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.