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Finding the Third Proportional to 119,096,297.16 and 257,978,366.23

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Solution

The third proportional to 119,096,297.16 and 257,978,366.23 is: 558,815,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,096,297.16 : 257,978,366.23 = 257,978,366.23 : x
  2. Step 2: Convert to fraction form
    119,096,297.16/257,978,366.23 = 257,978,366.23/x
  3. Step 3: Cross multiply
    119,096,297.16x = 257,978,366.23 × 257,978,366.23
  4. Step 4: Simplify right side
    119,096,297.16x = 66,552,837,440,930,280
  5. Step 5: Solve for x
    x = 66,552,837,440,930,280/119,096,297.16
  6. Step 6: Final answer
    x = 558,815,337.08

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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.