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Finding the Third Proportional to 82,411,260.25 and 171,604,623.25

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Solution

The third proportional to 82,411,260.25 and 171,604,623.25 is: 357,331,590.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,411,260.25 : 171,604,623.25 = 171,604,623.25 : x
  2. Step 2: Convert to fraction form
    82,411,260.25/171,604,623.25 = 171,604,623.25/x
  3. Step 3: Cross multiply
    82,411,260.25x = 171,604,623.25 × 171,604,623.25
  4. Step 4: Simplify right side
    82,411,260.25x = 29,448,146,720,774,440
  5. Step 5: Solve for x
    x = 29,448,146,720,774,440/82,411,260.25
  6. Step 6: Final answer
    x = 357,331,590.75

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.