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Finding the Third Proportional to 114,802,064.44 and 176,696,528.63

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Solution

The third proportional to 114,802,064.44 and 176,696,528.63 is: 271,960,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,802,064.44 : 176,696,528.63 = 176,696,528.63 : x
  2. Step 2: Convert to fraction form
    114,802,064.44/176,696,528.63 = 176,696,528.63/x
  3. Step 3: Cross multiply
    114,802,064.44x = 176,696,528.63 × 176,696,528.63
  4. Step 4: Simplify right side
    114,802,064.44x = 31,221,663,228,125,444
  5. Step 5: Solve for x
    x = 31,221,663,228,125,444/114,802,064.44
  6. Step 6: Final answer
    x = 271,960,816.92

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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.