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Finding the Third Proportional to 220,018,262 and 466,263,988

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Solution

The third proportional to 220,018,262 and 466,263,988 is: 988,109,371.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,018,262 : 466,263,988 = 466,263,988 : x
  2. Step 2: Convert to fraction form
    220,018,262/466,263,988 = 466,263,988/x
  3. Step 3: Cross multiply
    220,018,262x = 466,263,988 × 466,263,988
  4. Step 4: Simplify right side
    220,018,262x = 217,402,106,505,664,128
  5. Step 5: Solve for x
    x = 217,402,106,505,664,128/220,018,262
  6. Step 6: Final answer
    x = 988,109,371.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.