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Finding the Third Proportional to 114,849,136.13 and 176,531,383.13

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Solution

The third proportional to 114,849,136.13 and 176,531,383.13 is: 271,341,433.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,136.13 : 176,531,383.13 = 176,531,383.13 : x
  2. Step 2: Convert to fraction form
    114,849,136.13/176,531,383.13 = 176,531,383.13/x
  3. Step 3: Cross multiply
    114,849,136.13x = 176,531,383.13 × 176,531,383.13
  4. Step 4: Simplify right side
    114,849,136.13x = 31,163,329,228,025,536
  5. Step 5: Solve for x
    x = 31,163,329,228,025,536/114,849,136.13
  6. Step 6: Final answer
    x = 271,341,433.46

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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.