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Finding the Third Proportional to 212,550,294 and 347,075,487

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Solution

The third proportional to 212,550,294 and 347,075,487 is: 566,743,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,550,294 : 347,075,487 = 347,075,487 : x
  2. Step 2: Convert to fraction form
    212,550,294/347,075,487 = 347,075,487/x
  3. Step 3: Cross multiply
    212,550,294x = 347,075,487 × 347,075,487
  4. Step 4: Simplify right side
    212,550,294x = 120,461,393,676,287,168
  5. Step 5: Solve for x
    x = 120,461,393,676,287,168/212,550,294
  6. Step 6: Final answer
    x = 566,743,011.31

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.