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Finding the Third Proportional to 43,075,172 and 92,205,237

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Solution

The third proportional to 43,075,172 and 92,205,237 is: 197,371,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,075,172 : 92,205,237 = 92,205,237 : x
  2. Step 2: Convert to fraction form
    43,075,172/92,205,237 = 92,205,237/x
  3. Step 3: Cross multiply
    43,075,172x = 92,205,237 × 92,205,237
  4. Step 4: Simplify right side
    43,075,172x = 8,501,805,730,226,169
  5. Step 5: Solve for x
    x = 8,501,805,730,226,169/43,075,172
  6. Step 6: Final answer
    x = 197,371,370.46

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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.