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Finding the Third Proportional to 158,493,548.81 and 345,124,401.75

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Solution

The third proportional to 158,493,548.81 and 345,124,401.75 is: 751,518,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,493,548.81 : 345,124,401.75 = 345,124,401.75 : x
  2. Step 2: Convert to fraction form
    158,493,548.81/345,124,401.75 = 345,124,401.75/x
  3. Step 3: Cross multiply
    158,493,548.81x = 345,124,401.75 × 345,124,401.75
  4. Step 4: Simplify right side
    158,493,548.81x = 119,110,852,683,295,408
  5. Step 5: Solve for x
    x = 119,110,852,683,295,408/158,493,548.81
  6. Step 6: Final answer
    x = 751,518,617.48

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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.