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Finding the Third Proportional to 97,502,557,088 and 197,746,664,179

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Solution

The third proportional to 97,502,557,088 and 197,746,664,179 is: 401,053,514,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,502,557,088 : 197,746,664,179 = 197,746,664,179 : x
  2. Step 2: Convert to fraction form
    97,502,557,088/197,746,664,179 = 197,746,664,179/x
  3. Step 3: Cross multiply
    97,502,557,088x = 197,746,664,179 × 197,746,664,179
  4. Step 4: Simplify right side
    97,502,557,088x = 39,103,743,193,922,198,831,104
  5. Step 5: Solve for x
    x = 39,103,743,193,922,198,831,104/97,502,557,088
  6. Step 6: Final answer
    x = 401,053,514,510.70

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.