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Finding the Third Proportional to 77,852,488.50 and 109,509,297.75

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Solution

The third proportional to 77,852,488.50 and 109,509,297.75 is: 154,038,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852,488.50 : 109,509,297.75 = 109,509,297.75 : x
  2. Step 2: Convert to fraction form
    77,852,488.50/109,509,297.75 = 109,509,297.75/x
  3. Step 3: Cross multiply
    77,852,488.50x = 109,509,297.75 × 109,509,297.75
  4. Step 4: Simplify right side
    77,852,488.50x = 11,992,286,293,698,156
  5. Step 5: Solve for x
    x = 11,992,286,293,698,156/77,852,488.50
  6. Step 6: Final answer
    x = 154,038,573.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.