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Finding the Third Proportional to 228,460,902 and 348,048,045.75

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Solution

The third proportional to 228,460,902 and 348,048,045.75 is: 530,232,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,902 : 348,048,045.75 = 348,048,045.75 : x
  2. Step 2: Convert to fraction form
    228,460,902/348,048,045.75 = 348,048,045.75/x
  3. Step 3: Cross multiply
    228,460,902x = 348,048,045.75 × 348,048,045.75
  4. Step 4: Simplify right side
    228,460,902x = 121,137,442,150,394,096
  5. Step 5: Solve for x
    x = 121,137,442,150,394,096/228,460,902
  6. Step 6: Final answer
    x = 530,232,705.42

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Why These Related Problems?

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