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Finding the Third Proportional to 93,718,105,516 and 142,769,850,640

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Solution

The third proportional to 93,718,105,516 and 142,769,850,640 is: 217,495,116,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,718,105,516 : 142,769,850,640 = 142,769,850,640 : x
  2. Step 2: Convert to fraction form
    93,718,105,516/142,769,850,640 = 142,769,850,640/x
  3. Step 3: Cross multiply
    93,718,105,516x = 142,769,850,640 × 142,769,850,640
  4. Step 4: Simplify right side
    93,718,105,516x = 20,383,230,251,767,909,318,656
  5. Step 5: Solve for x
    x = 20,383,230,251,767,909,318,656/93,718,105,516
  6. Step 6: Final answer
    x = 217,495,116,226.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.