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Finding the Third Proportional to 186,054,842.25 and 277,268,148

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Solution

The third proportional to 186,054,842.25 and 277,268,148 is: 413,198,737.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,054,842.25 : 277,268,148 = 277,268,148 : x
  2. Step 2: Convert to fraction form
    186,054,842.25/277,268,148 = 277,268,148/x
  3. Step 3: Cross multiply
    186,054,842.25x = 277,268,148 × 277,268,148
  4. Step 4: Simplify right side
    186,054,842.25x = 76,877,625,895,349,904
  5. Step 5: Solve for x
    x = 76,877,625,895,349,904/186,054,842.25
  6. Step 6: Final answer
    x = 413,198,737.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.