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Finding the Third Proportional to 70,492,724.63 and 107,765,214

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Solution

The third proportional to 70,492,724.63 and 107,765,214 is: 164,745,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,492,724.63 : 107,765,214 = 107,765,214 : x
  2. Step 2: Convert to fraction form
    70,492,724.63/107,765,214 = 107,765,214/x
  3. Step 3: Cross multiply
    70,492,724.63x = 107,765,214 × 107,765,214
  4. Step 4: Simplify right side
    70,492,724.63x = 11,613,341,348,465,796
  5. Step 5: Solve for x
    x = 11,613,341,348,465,796/70,492,724.63
  6. Step 6: Final answer
    x = 164,745,247.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.