Home / 82,258,006.50-178,676,111.25

Finding the Third Proportional to 82,258,006.50 and 178,676,111.25

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Solution

The third proportional to 82,258,006.50 and 178,676,111.25 is: 388,109,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258,006.50 : 178,676,111.25 = 178,676,111.25 : x
  2. Step 2: Convert to fraction form
    82,258,006.50/178,676,111.25 = 178,676,111.25/x
  3. Step 3: Cross multiply
    82,258,006.50x = 178,676,111.25 × 178,676,111.25
  4. Step 4: Simplify right side
    82,258,006.50x = 31,925,152,731,422,376
  5. Step 5: Solve for x
    x = 31,925,152,731,422,376/82,258,006.50
  6. Step 6: Final answer
    x = 388,109,973.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.