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Finding the Third Proportional to 200,502,072 and 319,038,205

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Solution

The third proportional to 200,502,072 and 319,038,205 is: 507,652,490.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,072 : 319,038,205 = 319,038,205 : x
  2. Step 2: Convert to fraction form
    200,502,072/319,038,205 = 319,038,205/x
  3. Step 3: Cross multiply
    200,502,072x = 319,038,205 × 319,038,205
  4. Step 4: Simplify right side
    200,502,072x = 101,785,376,249,622,032
  5. Step 5: Solve for x
    x = 101,785,376,249,622,032/200,502,072
  6. Step 6: Final answer
    x = 507,652,490.74

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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.