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Finding the Third Proportional to 95,048,913,154 and 201,429,875,612

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Solution

The third proportional to 95,048,913,154 and 201,429,875,612 is: 426,874,894,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,048,913,154 : 201,429,875,612 = 201,429,875,612 : x
  2. Step 2: Convert to fraction form
    95,048,913,154/201,429,875,612 = 201,429,875,612/x
  3. Step 3: Cross multiply
    95,048,913,154x = 201,429,875,612 × 201,429,875,612
  4. Step 4: Simplify right side
    95,048,913,154x = 40,573,994,789,065,795,305,472
  5. Step 5: Solve for x
    x = 40,573,994,789,065,795,305,472/95,048,913,154
  6. Step 6: Final answer
    x = 426,874,894,648.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.