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Finding the Third Proportional to 95,863,891,695.75 and 208,413,886,808.24

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Solution

The third proportional to 95,863,891,695.75 and 208,413,886,808.24 is: 453,104,369,603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,863,891,695.75 : 208,413,886,808.24 = 208,413,886,808.24 : x
  2. Step 2: Convert to fraction form
    95,863,891,695.75/208,413,886,808.24 = 208,413,886,808.24/x
  3. Step 3: Cross multiply
    95,863,891,695.75x = 208,413,886,808.24 × 208,413,886,808.24
  4. Step 4: Simplify right side
    95,863,891,695.75x = 43,436,348,214,517,870,624,768
  5. Step 5: Solve for x
    x = 43,436,348,214,517,870,624,768/95,863,891,695.75
  6. Step 6: Final answer
    x = 453,104,369,603.25

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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.