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Finding the Third Proportional to 92,495,759,031 and 147,178,935,819

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Solution

The third proportional to 92,495,759,031 and 147,178,935,819 is: 234,190,619,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,495,759,031 : 147,178,935,819 = 147,178,935,819 : x
  2. Step 2: Convert to fraction form
    92,495,759,031/147,178,935,819 = 147,178,935,819/x
  3. Step 3: Cross multiply
    92,495,759,031x = 147,178,935,819 × 147,178,935,819
  4. Step 4: Simplify right side
    92,495,759,031x = 21,661,639,148,813,322,027,008
  5. Step 5: Solve for x
    x = 21,661,639,148,813,322,027,008/92,495,759,031
  6. Step 6: Final answer
    x = 234,190,619,934.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.