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Finding the Third Proportional to 43,075,278 and 92,205,447.75

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Solution

The third proportional to 43,075,278 and 92,205,447.75 is: 197,371,787.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075,278 : 92,205,447.75 = 92,205,447.75 : x
  2. Step 2: Convert to fraction form
    43,075,278/92,205,447.75 = 92,205,447.75/x
  3. Step 3: Cross multiply
    43,075,278x = 92,205,447.75 × 92,205,447.75
  4. Step 4: Simplify right side
    43,075,278x = 8,501,844,594,777,980
  5. Step 5: Solve for x
    x = 8,501,844,594,777,980/43,075,278
  6. Step 6: Final answer
    x = 197,371,787.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.