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Finding the Third Proportional to 114,802,076 and 176,696,546

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Solution

The third proportional to 114,802,076 and 176,696,546 is: 271,960,843.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802,076 : 176,696,546 = 176,696,546 : x
  2. Step 2: Convert to fraction form
    114,802,076/176,696,546 = 176,696,546/x
  3. Step 3: Cross multiply
    114,802,076x = 176,696,546 × 176,696,546
  4. Step 4: Simplify right side
    114,802,076x = 31,221,669,368,330,116
  5. Step 5: Solve for x
    x = 31,221,669,368,330,116/114,802,076
  6. Step 6: Final answer
    x = 271,960,843.01

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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.