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Finding the Third Proportional to 186,406,506 and 279,609,786

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Solution

The third proportional to 186,406,506 and 279,609,786 is: 419,414,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,406,506 : 279,609,786 = 279,609,786 : x
  2. Step 2: Convert to fraction form
    186,406,506/279,609,786 = 279,609,786/x
  3. Step 3: Cross multiply
    186,406,506x = 279,609,786 × 279,609,786
  4. Step 4: Simplify right side
    186,406,506x = 78,181,632,426,965,792
  5. Step 5: Solve for x
    x = 78,181,632,426,965,792/186,406,506
  6. Step 6: Final answer
    x = 419,414,719.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.