Home / 157,075,497.42-253,090,469.95

Finding the Third Proportional to 157,075,497.42 and 253,090,469.95

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Solution

The third proportional to 157,075,497.42 and 253,090,469.95 is: 407,796,168.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,075,497.42 : 253,090,469.95 = 253,090,469.95 : x
  2. Step 2: Convert to fraction form
    157,075,497.42/253,090,469.95 = 253,090,469.95/x
  3. Step 3: Cross multiply
    157,075,497.42x = 253,090,469.95 × 253,090,469.95
  4. Step 4: Simplify right side
    157,075,497.42x = 64,054,785,981,091,136
  5. Step 5: Solve for x
    x = 64,054,785,981,091,136/157,075,497.42
  6. Step 6: Final answer
    x = 407,796,168.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.