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Finding the Third Proportional to 255,547,693.55 and 555,869,979.84

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Solution

The third proportional to 255,547,693.55 and 555,869,979.84 is: 1,209,134,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,693.55 : 555,869,979.84 = 555,869,979.84 : x
  2. Step 2: Convert to fraction form
    255,547,693.55/555,869,979.84 = 555,869,979.84/x
  3. Step 3: Cross multiply
    255,547,693.55x = 555,869,979.84 × 555,869,979.84
  4. Step 4: Simplify right side
    255,547,693.55x = 308,991,434,491,491,008
  5. Step 5: Solve for x
    x = 308,991,434,491,491,008/255,547,693.55
  6. Step 6: Final answer
    x = 1,209,134,115.84

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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.