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Finding the Third Proportional to 228,461,023.50 and 348,048,209.25

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Solution

The third proportional to 228,461,023.50 and 348,048,209.25 is: 530,232,921.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,461,023.50 : 348,048,209.25 = 348,048,209.25 : x
  2. Step 2: Convert to fraction form
    228,461,023.50/348,048,209.25 = 348,048,209.25/x
  3. Step 3: Cross multiply
    228,461,023.50x = 348,048,209.25 × 348,048,209.25
  4. Step 4: Simplify right side
    228,461,023.50x = 121,137,555,962,131,792
  5. Step 5: Solve for x
    x = 121,137,555,962,131,792/228,461,023.50
  6. Step 6: Final answer
    x = 530,232,921.60

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.