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Finding the Third Proportional to 96,848,140,533 and 209,811,778,685

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Solution

The third proportional to 96,848,140,533 and 209,811,778,685 is: 454,536,165,926.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,848,140,533 : 209,811,778,685 = 209,811,778,685 : x
  2. Step 2: Convert to fraction form
    96,848,140,533/209,811,778,685 = 209,811,778,685/x
  3. Step 3: Cross multiply
    96,848,140,533x = 209,811,778,685 × 209,811,778,685
  4. Step 4: Simplify right side
    96,848,140,533x = 44,020,982,474,963,417,038,848
  5. Step 5: Solve for x
    x = 44,020,982,474,963,417,038,848/96,848,140,533
  6. Step 6: Final answer
    x = 454,536,165,926.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.