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Finding the Third Proportional to 96,969,544,785 and 226,564,610,989.50

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Solution

The third proportional to 96,969,544,785 and 226,564,610,989.50 is: 529,357,161,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969,544,785 : 226,564,610,989.50 = 226,564,610,989.50 : x
  2. Step 2: Convert to fraction form
    96,969,544,785/226,564,610,989.50 = 226,564,610,989.50/x
  3. Step 3: Cross multiply
    96,969,544,785x = 226,564,610,989.50 × 226,564,610,989.50
  4. Step 4: Simplify right side
    96,969,544,785x = 51,331,522,952,823,463,477,248
  5. Step 5: Solve for x
    x = 51,331,522,952,823,463,477,248/96,969,544,785
  6. Step 6: Final answer
    x = 529,357,161,226.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.