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Finding the Third Proportional to 228,460,903 and 348,048,046

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Solution

The third proportional to 228,460,903 and 348,048,046 is: 530,232,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,903 : 348,048,046 = 348,048,046 : x
  2. Step 2: Convert to fraction form
    228,460,903/348,048,046 = 348,048,046/x
  3. Step 3: Cross multiply
    228,460,903x = 348,048,046 × 348,048,046
  4. Step 4: Simplify right side
    228,460,903x = 121,137,442,324,418,112
  5. Step 5: Solve for x
    x = 121,137,442,324,418,112/228,460,903
  6. Step 6: Final answer
    x = 530,232,703.86

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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.