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Finding the Third Proportional to 196,156,971 and 423,518,274

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Solution

The third proportional to 196,156,971 and 423,518,274 is: 914,409,146.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,156,971 : 423,518,274 = 423,518,274 : x
  2. Step 2: Convert to fraction form
    196,156,971/423,518,274 = 423,518,274/x
  3. Step 3: Cross multiply
    196,156,971x = 423,518,274 × 423,518,274
  4. Step 4: Simplify right side
    196,156,971x = 179,367,728,411,939,072
  5. Step 5: Solve for x
    x = 179,367,728,411,939,072/196,156,971
  6. Step 6: Final answer
    x = 914,409,146.40

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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.