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Finding the Third Proportional to 189,917,202 and 411,537,402

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Solution

The third proportional to 189,917,202 and 411,537,402 is: 891,773,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,917,202 : 411,537,402 = 411,537,402 : x
  2. Step 2: Convert to fraction form
    189,917,202/411,537,402 = 411,537,402/x
  3. Step 3: Cross multiply
    189,917,202x = 411,537,402 × 411,537,402
  4. Step 4: Simplify right side
    189,917,202x = 169,363,033,244,909,600
  5. Step 5: Solve for x
    x = 169,363,033,244,909,600/189,917,202
  6. Step 6: Final answer
    x = 891,773,001.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.