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Finding the Third Proportional to 50,609,158,192 and 105,407,206,516

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Solution

The third proportional to 50,609,158,192 and 105,407,206,516 is: 219,538,905,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,609,158,192 : 105,407,206,516 = 105,407,206,516 : x
  2. Step 2: Convert to fraction form
    50,609,158,192/105,407,206,516 = 105,407,206,516/x
  3. Step 3: Cross multiply
    50,609,158,192x = 105,407,206,516 × 105,407,206,516
  4. Step 4: Simplify right side
    50,609,158,192x = 11,110,679,185,506,672,050,176
  5. Step 5: Solve for x
    x = 11,110,679,185,506,672,050,176/50,609,158,192
  6. Step 6: Final answer
    x = 219,538,905,258.12

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.