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Finding the Third Proportional to 353,909,277 and 549,497,142

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Solution

The third proportional to 353,909,277 and 549,497,142 is: 853,176,587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,909,277 : 549,497,142 = 549,497,142 : x
  2. Step 2: Convert to fraction form
    353,909,277/549,497,142 = 549,497,142/x
  3. Step 3: Cross multiply
    353,909,277x = 549,497,142 × 549,497,142
  4. Step 4: Simplify right side
    353,909,277x = 301,947,109,066,168,192
  5. Step 5: Solve for x
    x = 301,947,109,066,168,192/353,909,277
  6. Step 6: Final answer
    x = 853,176,587.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.