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Finding the Third Proportional to 114,787,956,894 and 161,576,299,377

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Solution

The third proportional to 114,787,956,894 and 161,576,299,377 is: 227,435,884,623.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,787,956,894 : 161,576,299,377 = 161,576,299,377 : x
  2. Step 2: Convert to fraction form
    114,787,956,894/161,576,299,377 = 161,576,299,377/x
  3. Step 3: Cross multiply
    114,787,956,894x = 161,576,299,377 × 161,576,299,377
  4. Step 4: Simplify right side
    114,787,956,894x = 26,106,900,520,365,931,364,352
  5. Step 5: Solve for x
    x = 26,106,900,520,365,931,364,352/114,787,956,894
  6. Step 6: Final answer
    x = 227,435,884,623.98

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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.