Home / 152,075,090.25-312,212,049.75

Finding the Third Proportional to 152,075,090.25 and 312,212,049.75

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Solution

The third proportional to 152,075,090.25 and 312,212,049.75 is: 640,975,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,075,090.25 : 312,212,049.75 = 312,212,049.75 : x
  2. Step 2: Convert to fraction form
    152,075,090.25/312,212,049.75 = 312,212,049.75/x
  3. Step 3: Cross multiply
    152,075,090.25x = 312,212,049.75 × 312,212,049.75
  4. Step 4: Simplify right side
    152,075,090.25x = 97,476,364,009,096,480
  5. Step 5: Solve for x
    x = 97,476,364,009,096,480/152,075,090.25
  6. Step 6: Final answer
    x = 640,975,217.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.