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Finding the Third Proportional to 97,775,598 and 215,075,868

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Solution

The third proportional to 97,775,598 and 215,075,868 is: 473,099,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,775,598 : 215,075,868 = 215,075,868 : x
  2. Step 2: Convert to fraction form
    97,775,598/215,075,868 = 215,075,868/x
  3. Step 3: Cross multiply
    97,775,598x = 215,075,868 × 215,075,868
  4. Step 4: Simplify right side
    97,775,598x = 46,257,628,995,953,424
  5. Step 5: Solve for x
    x = 46,257,628,995,953,424/97,775,598
  6. Step 6: Final answer
    x = 473,099,934.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.