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Finding the Third Proportional to 230,880,792 and 346,625,154

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Solution

The third proportional to 230,880,792 and 346,625,154 is: 520,394,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,880,792 : 346,625,154 = 346,625,154 : x
  2. Step 2: Convert to fraction form
    230,880,792/346,625,154 = 346,625,154/x
  3. Step 3: Cross multiply
    230,880,792x = 346,625,154 × 346,625,154
  4. Step 4: Simplify right side
    230,880,792x = 120,148,997,385,523,712
  5. Step 5: Solve for x
    x = 120,148,997,385,523,712/230,880,792
  6. Step 6: Final answer
    x = 520,394,080.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.