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Finding the Third Proportional to 227,350,476 and 492,934,842

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Solution

The third proportional to 227,350,476 and 492,934,842 is: 1,068,767,317.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,350,476 : 492,934,842 = 492,934,842 : x
  2. Step 2: Convert to fraction form
    227,350,476/492,934,842 = 492,934,842/x
  3. Step 3: Cross multiply
    227,350,476x = 492,934,842 × 492,934,842
  4. Step 4: Simplify right side
    227,350,476x = 242,984,758,457,564,960
  5. Step 5: Solve for x
    x = 242,984,758,457,564,960/227,350,476
  6. Step 6: Final answer
    x = 1,068,767,317.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.