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Finding the Third Proportional to 200,502,082 and 319,038,224

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Solution

The third proportional to 200,502,082 and 319,038,224 is: 507,652,525.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,082 : 319,038,224 = 319,038,224 : x
  2. Step 2: Convert to fraction form
    200,502,082/319,038,224 = 319,038,224/x
  3. Step 3: Cross multiply
    200,502,082x = 319,038,224 × 319,038,224
  4. Step 4: Simplify right side
    200,502,082x = 101,785,388,373,074,176
  5. Step 5: Solve for x
    x = 101,785,388,373,074,176/200,502,082
  6. Step 6: Final answer
    x = 507,652,525.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.