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Finding the Third Proportional to 228,460,827.38 and 348,047,933.06

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Solution

The third proportional to 228,460,827.38 and 348,047,933.06 is: 530,232,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,827.38 : 348,047,933.06 = 348,047,933.06 : x
  2. Step 2: Convert to fraction form
    228,460,827.38/348,047,933.06 = 348,047,933.06/x
  3. Step 3: Cross multiply
    228,460,827.38x = 348,047,933.06 × 348,047,933.06
  4. Step 4: Simplify right side
    228,460,827.38x = 121,137,363,709,078,480
  5. Step 5: Solve for x
    x = 121,137,363,709,078,480/228,460,827.38
  6. Step 6: Final answer
    x = 530,232,535.27

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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.