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Finding the Third Proportional to 186,227,764 and 438,990,664

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Solution

The third proportional to 186,227,764 and 438,990,664 is: 1,034,823,159.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,227,764 : 438,990,664 = 438,990,664 : x
  2. Step 2: Convert to fraction form
    186,227,764/438,990,664 = 438,990,664/x
  3. Step 3: Cross multiply
    186,227,764x = 438,990,664 × 438,990,664
  4. Step 4: Simplify right side
    186,227,764x = 192,712,803,079,160,896
  5. Step 5: Solve for x
    x = 192,712,803,079,160,896/186,227,764
  6. Step 6: Final answer
    x = 1,034,823,159.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.