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Finding the Third Proportional to 255,547,692 and 555,869,983

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Solution

The third proportional to 255,547,692 and 555,869,983 is: 1,209,134,136.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,692 : 555,869,983 = 555,869,983 : x
  2. Step 2: Convert to fraction form
    255,547,692/555,869,983 = 555,869,983/x
  3. Step 3: Cross multiply
    255,547,692x = 555,869,983 × 555,869,983
  4. Step 4: Simplify right side
    255,547,692x = 308,991,438,000,420,288
  5. Step 5: Solve for x
    x = 308,991,438,000,420,288/255,547,692
  6. Step 6: Final answer
    x = 1,209,134,136.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.