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Finding the Third Proportional to 228,460,838.25 and 348,047,947.13

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Solution

The third proportional to 228,460,838.25 and 348,047,947.13 is: 530,232,552.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,838.25 : 348,047,947.13 = 348,047,947.13 : x
  2. Step 2: Convert to fraction form
    228,460,838.25/348,047,947.13 = 348,047,947.13/x
  3. Step 3: Cross multiply
    228,460,838.25x = 348,047,947.13 × 348,047,947.13
  4. Step 4: Simplify right side
    228,460,838.25x = 121,137,373,497,926,800
  5. Step 5: Solve for x
    x = 121,137,373,497,926,800/228,460,838.25
  6. Step 6: Final answer
    x = 530,232,552.88

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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.