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Finding the Third Proportional to 186,710,788.13 and 274,012,728.19

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Solution

The third proportional to 186,710,788.13 and 274,012,728.19 is: 402,135,173.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,710,788.13 : 274,012,728.19 = 274,012,728.19 : x
  2. Step 2: Convert to fraction form
    186,710,788.13/274,012,728.19 = 274,012,728.19/x
  3. Step 3: Cross multiply
    186,710,788.13x = 274,012,728.19 × 274,012,728.19
  4. Step 4: Simplify right side
    186,710,788.13x = 75,082,975,208,756,752
  5. Step 5: Solve for x
    x = 75,082,975,208,756,752/186,710,788.13
  6. Step 6: Final answer
    x = 402,135,173.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.