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Finding the Third Proportional to 178,176,894.75 and 260,886,592.13

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Solution

The third proportional to 178,176,894.75 and 260,886,592.13 is: 381,990,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,176,894.75 : 260,886,592.13 = 260,886,592.13 : x
  2. Step 2: Convert to fraction form
    178,176,894.75/260,886,592.13 = 260,886,592.13/x
  3. Step 3: Cross multiply
    178,176,894.75x = 260,886,592.13 × 260,886,592.13
  4. Step 4: Simplify right side
    178,176,894.75x = 68,061,813,950,596,112
  5. Step 5: Solve for x
    x = 68,061,813,950,596,112/178,176,894.75
  6. Step 6: Final answer
    x = 381,990,123.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.