Home / 200,502,280.13-319,038,537.38

Finding the Third Proportional to 200,502,280.13 and 319,038,537.38

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Solution

The third proportional to 200,502,280.13 and 319,038,537.38 is: 507,653,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,280.13 : 319,038,537.38 = 319,038,537.38 : x
  2. Step 2: Convert to fraction form
    200,502,280.13/319,038,537.38 = 319,038,537.38/x
  3. Step 3: Cross multiply
    200,502,280.13x = 319,038,537.38 × 319,038,537.38
  4. Step 4: Simplify right side
    200,502,280.13x = 101,785,588,330,379,264
  5. Step 5: Solve for x
    x = 101,785,588,330,379,264/200,502,280.13
  6. Step 6: Final answer
    x = 507,653,021.54

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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.