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Finding the Third Proportional to 109,645,248,684 and 147,937,185,234

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Solution

The third proportional to 109,645,248,684 and 147,937,185,234 is: 199,601,998,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,645,248,684 : 147,937,185,234 = 147,937,185,234 : x
  2. Step 2: Convert to fraction form
    109,645,248,684/147,937,185,234 = 147,937,185,234/x
  3. Step 3: Cross multiply
    109,645,248,684x = 147,937,185,234 × 147,937,185,234
  4. Step 4: Simplify right side
    109,645,248,684x = 21,885,410,774,958,829,731,840
  5. Step 5: Solve for x
    x = 21,885,410,774,958,829,731,840/109,645,248,684
  6. Step 6: Final answer
    x = 199,601,998,605.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.