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Finding the Third Proportional to 186,930,384.75 and 406,776,894.75

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Solution

The third proportional to 186,930,384.75 and 406,776,894.75 is: 885,182,161.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,930,384.75 : 406,776,894.75 = 406,776,894.75 : x
  2. Step 2: Convert to fraction form
    186,930,384.75/406,776,894.75 = 406,776,894.75/x
  3. Step 3: Cross multiply
    186,930,384.75x = 406,776,894.75 × 406,776,894.75
  4. Step 4: Simplify right side
    186,930,384.75x = 165,467,442,102,452,576
  5. Step 5: Solve for x
    x = 165,467,442,102,452,576/186,930,384.75
  6. Step 6: Final answer
    x = 885,182,161.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.