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Finding the Third Proportional to 254,307,216 and 549,269,304

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Solution

The third proportional to 254,307,216 and 549,269,304 is: 1,186,347,650.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,307,216 : 549,269,304 = 549,269,304 : x
  2. Step 2: Convert to fraction form
    254,307,216/549,269,304 = 549,269,304/x
  3. Step 3: Cross multiply
    254,307,216x = 549,269,304 × 549,269,304
  4. Step 4: Simplify right side
    254,307,216x = 301,696,768,316,644,416
  5. Step 5: Solve for x
    x = 301,696,768,316,644,416/254,307,216
  6. Step 6: Final answer
    x = 1,186,347,650.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.