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Finding the Third Proportional to 93,718,105,491 and 142,769,850,603

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Solution

The third proportional to 93,718,105,491 and 142,769,850,603 is: 217,495,116,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,718,105,491 : 142,769,850,603 = 142,769,850,603 : x
  2. Step 2: Convert to fraction form
    93,718,105,491/142,769,850,603 = 142,769,850,603/x
  3. Step 3: Cross multiply
    93,718,105,491x = 142,769,850,603 × 142,769,850,603
  4. Step 4: Simplify right side
    93,718,105,491x = 20,383,230,241,202,939,887,616
  5. Step 5: Solve for x
    x = 20,383,230,241,202,939,887,616/93,718,105,491
  6. Step 6: Final answer
    x = 217,495,116,172.19

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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.