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Finding the Third Proportional to 101,460,424 and 222,312,166

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Solution

The third proportional to 101,460,424 and 222,312,166 is: 487,113,075.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,460,424 : 222,312,166 = 222,312,166 : x
  2. Step 2: Convert to fraction form
    101,460,424/222,312,166 = 222,312,166/x
  3. Step 3: Cross multiply
    101,460,424x = 222,312,166 × 222,312,166
  4. Step 4: Simplify right side
    101,460,424x = 49,422,699,151,611,552
  5. Step 5: Solve for x
    x = 49,422,699,151,611,552/101,460,424
  6. Step 6: Final answer
    x = 487,113,075.26

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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.