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Finding the Third Proportional to 92,495,759,076 and 147,178,935,884

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Solution

The third proportional to 92,495,759,076 and 147,178,935,884 is: 234,190,620,027.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,495,759,076 : 147,178,935,884 = 147,178,935,884 : x
  2. Step 2: Convert to fraction form
    92,495,759,076/147,178,935,884 = 147,178,935,884/x
  3. Step 3: Cross multiply
    92,495,759,076x = 147,178,935,884 × 147,178,935,884
  4. Step 4: Simplify right side
    92,495,759,076x = 21,661,639,167,946,583,441,408
  5. Step 5: Solve for x
    x = 21,661,639,167,946,583,441,408/92,495,759,076
  6. Step 6: Final answer
    x = 234,190,620,027.76

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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.