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Finding the Third Proportional to 99,905,561,353 and 215,734,336,523.50

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Solution

The third proportional to 99,905,561,353 and 215,734,336,523.50 is: 465,852,984,808.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905,561,353 : 215,734,336,523.50 = 215,734,336,523.50 : x
  2. Step 2: Convert to fraction form
    99,905,561,353/215,734,336,523.50 = 215,734,336,523.50/x
  3. Step 3: Cross multiply
    99,905,561,353x = 215,734,336,523.50 × 215,734,336,523.50
  4. Step 4: Simplify right side
    99,905,561,353x = 46,541,303,955,234,742,075,392
  5. Step 5: Solve for x
    x = 46,541,303,955,234,742,075,392/99,905,561,353
  6. Step 6: Final answer
    x = 465,852,984,808.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.