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Finding the Third Proportional to 121,267,075.50 and 186,398,165.25

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Solution

The third proportional to 121,267,075.50 and 186,398,165.25 is: 286,510,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,267,075.50 : 186,398,165.25 = 186,398,165.25 : x
  2. Step 2: Convert to fraction form
    121,267,075.50/186,398,165.25 = 186,398,165.25/x
  3. Step 3: Cross multiply
    121,267,075.50x = 186,398,165.25 × 186,398,165.25
  4. Step 4: Simplify right side
    121,267,075.50x = 34,744,276,008,566,308
  5. Step 5: Solve for x
    x = 34,744,276,008,566,308/121,267,075.50
  6. Step 6: Final answer
    x = 286,510,381.04

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.