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Finding the Third Proportional to 201,637,060 and 304,310,412

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Solution

The third proportional to 201,637,060 and 304,310,412 is: 459,264,913.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,637,060 : 304,310,412 = 304,310,412 : x
  2. Step 2: Convert to fraction form
    201,637,060/304,310,412 = 304,310,412/x
  3. Step 3: Cross multiply
    201,637,060x = 304,310,412 × 304,310,412
  4. Step 4: Simplify right side
    201,637,060x = 92,604,826,851,609,744
  5. Step 5: Solve for x
    x = 92,604,826,851,609,744/201,637,060
  6. Step 6: Final answer
    x = 459,264,913.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.