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Finding the Third Proportional to 212,738,100 and 465,832,506

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Solution

The third proportional to 212,738,100 and 465,832,506 is: 1,020,033,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,738,100 : 465,832,506 = 465,832,506 : x
  2. Step 2: Convert to fraction form
    212,738,100/465,832,506 = 465,832,506/x
  3. Step 3: Cross multiply
    212,738,100x = 465,832,506 × 465,832,506
  4. Step 4: Simplify right side
    212,738,100x = 216,999,923,646,240,032
  5. Step 5: Solve for x
    x = 216,999,923,646,240,032/212,738,100
  6. Step 6: Final answer
    x = 1,020,033,194.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.