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Finding the Third Proportional to 255,547,696 and 555,869,990

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Solution

The third proportional to 255,547,696 and 555,869,990 is: 1,209,134,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,547,696 : 555,869,990 = 555,869,990 : x
  2. Step 2: Convert to fraction form
    255,547,696/555,869,990 = 555,869,990/x
  3. Step 3: Cross multiply
    255,547,696x = 555,869,990 × 555,869,990
  4. Step 4: Simplify right side
    255,547,696x = 308,991,445,782,600,128
  5. Step 5: Solve for x
    x = 308,991,445,782,600,128/255,547,696
  6. Step 6: Final answer
    x = 1,209,134,148.42

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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.