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Finding the Third Proportional to 96,969,534,029 and 226,564,585,973

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Solution

The third proportional to 96,969,534,029 and 226,564,585,973 is: 529,357,103,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,969,534,029 : 226,564,585,973 = 226,564,585,973 : x
  2. Step 2: Convert to fraction form
    96,969,534,029/226,564,585,973 = 226,564,585,973/x
  3. Step 3: Cross multiply
    96,969,534,029x = 226,564,585,973 × 226,564,585,973
  4. Step 4: Simplify right side
    96,969,534,029x = 51,331,511,617,116,908,290,048
  5. Step 5: Solve for x
    x = 51,331,511,617,116,908,290,048/96,969,534,029
  6. Step 6: Final answer
    x = 529,357,103,043.99

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