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Finding the Third Proportional to 68,136,124,210.50 and 148,270,175,778

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Solution

The third proportional to 68,136,124,210.50 and 148,270,175,778 is: 322,648,892,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,136,124,210.50 : 148,270,175,778 = 148,270,175,778 : x
  2. Step 2: Convert to fraction form
    68,136,124,210.50/148,270,175,778 = 148,270,175,778/x
  3. Step 3: Cross multiply
    68,136,124,210.50x = 148,270,175,778 × 148,270,175,778
  4. Step 4: Simplify right side
    68,136,124,210.50x = 21,984,045,025,239,016,407,040
  5. Step 5: Solve for x
    x = 21,984,045,025,239,016,407,040/68,136,124,210.50
  6. Step 6: Final answer
    x = 322,648,892,639.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.