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Finding the Third Proportional to 87,524,064 and 190,460,160

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Solution

The third proportional to 87,524,064 and 190,460,160 is: 414,458,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,524,064 : 190,460,160 = 190,460,160 : x
  2. Step 2: Convert to fraction form
    87,524,064/190,460,160 = 190,460,160/x
  3. Step 3: Cross multiply
    87,524,064x = 190,460,160 × 190,460,160
  4. Step 4: Simplify right side
    87,524,064x = 36,275,072,547,225,600
  5. Step 5: Solve for x
    x = 36,275,072,547,225,600/87,524,064
  6. Step 6: Final answer
    x = 414,458,274.55

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