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Finding the Third Proportional to 186,176,443,059 and 266,232,630,624.50

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Solution

The third proportional to 186,176,443,059 and 266,232,630,624.50 is: 380,713,115,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,176,443,059 : 266,232,630,624.50 = 266,232,630,624.50 : x
  2. Step 2: Convert to fraction form
    186,176,443,059/266,232,630,624.50 = 266,232,630,624.50/x
  3. Step 3: Cross multiply
    186,176,443,059x = 266,232,630,624.50 × 266,232,630,624.50
  4. Step 4: Simplify right side
    186,176,443,059x = 70,879,813,609,241,454,837,760
  5. Step 5: Solve for x
    x = 70,879,813,609,241,454,837,760/186,176,443,059
  6. Step 6: Final answer
    x = 380,713,115,175.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.