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Finding the Third Proportional to 245,886,276.38 and 401,467,654.13

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Solution

The third proportional to 245,886,276.38 and 401,467,654.13 is: 655,491,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,886,276.38 : 401,467,654.13 = 401,467,654.13 : x
  2. Step 2: Convert to fraction form
    245,886,276.38/401,467,654.13 = 401,467,654.13/x
  3. Step 3: Cross multiply
    245,886,276.38x = 401,467,654.13 × 401,467,654.13
  4. Step 4: Simplify right side
    245,886,276.38x = 161,176,277,308,630,624
  5. Step 5: Solve for x
    x = 161,176,277,308,630,624/245,886,276.38
  6. Step 6: Final answer
    x = 655,491,146.90

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.