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Finding the Third Proportional to 186,484,672.13 and 406,053,460.13

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Solution

The third proportional to 186,484,672.13 and 406,053,460.13 is: 884,144,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,484,672.13 : 406,053,460.13 = 406,053,460.13 : x
  2. Step 2: Convert to fraction form
    186,484,672.13/406,053,460.13 = 406,053,460.13/x
  3. Step 3: Cross multiply
    186,484,672.13x = 406,053,460.13 × 406,053,460.13
  4. Step 4: Simplify right side
    186,484,672.13x = 164,879,412,479,484,960
  5. Step 5: Solve for x
    x = 164,879,412,479,484,960/186,484,672.13
  6. Step 6: Final answer
    x = 884,144,581.97

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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.