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Finding the Third Proportional to 114,849,736 and 176,531,946

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Solution

The third proportional to 114,849,736 and 176,531,946 is: 271,341,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,736 : 176,531,946 = 176,531,946 : x
  2. Step 2: Convert to fraction form
    114,849,736/176,531,946 = 176,531,946/x
  3. Step 3: Cross multiply
    114,849,736x = 176,531,946 × 176,531,946
  4. Step 4: Simplify right side
    114,849,736x = 31,163,527,958,546,916
  5. Step 5: Solve for x
    x = 31,163,527,958,546,916/114,849,736
  6. Step 6: Final answer
    x = 271,341,746.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.