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Finding the Third Proportional to 228,460,834 and 348,047,943

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Solution

The third proportional to 228,460,834 and 348,047,943 is: 530,232,550.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,460,834 : 348,047,943 = 348,047,943 : x
  2. Step 2: Convert to fraction form
    228,460,834/348,047,943 = 348,047,943/x
  3. Step 3: Cross multiply
    228,460,834x = 348,047,943 × 348,047,943
  4. Step 4: Simplify right side
    228,460,834x = 121,137,370,626,531,248
  5. Step 5: Solve for x
    x = 121,137,370,626,531,248/228,460,834
  6. Step 6: Final answer
    x = 530,232,550.17

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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.