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Finding the Third Proportional to 228,460,400 and 348,047,328

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Solution

The third proportional to 228,460,400 and 348,047,328 is: 530,231,683.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,400 : 348,047,328 = 348,047,328 : x
  2. Step 2: Convert to fraction form
    228,460,400/348,047,328 = 348,047,328/x
  3. Step 3: Cross multiply
    228,460,400x = 348,047,328 × 348,047,328
  4. Step 4: Simplify right side
    228,460,400x = 121,136,942,527,939,584
  5. Step 5: Solve for x
    x = 121,136,942,527,939,584/228,460,400
  6. Step 6: Final answer
    x = 530,231,683.60

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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.