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Finding the Third Proportional to 230,107,276.50 and 492,521,748

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Solution

The third proportional to 230,107,276.50 and 492,521,748 is: 1,054,193,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,107,276.50 : 492,521,748 = 492,521,748 : x
  2. Step 2: Convert to fraction form
    230,107,276.50/492,521,748 = 492,521,748/x
  3. Step 3: Cross multiply
    230,107,276.50x = 492,521,748 × 492,521,748
  4. Step 4: Simplify right side
    230,107,276.50x = 242,577,672,252,975,488
  5. Step 5: Solve for x
    x = 242,577,672,252,975,488/230,107,276.50
  6. Step 6: Final answer
    x = 1,054,193,834.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.