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Finding the Third Proportional to 191,946,364 and 413,459,316

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Solution

The third proportional to 191,946,364 and 413,459,316 is: 890,606,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,946,364 : 413,459,316 = 413,459,316 : x
  2. Step 2: Convert to fraction form
    191,946,364/413,459,316 = 413,459,316/x
  3. Step 3: Cross multiply
    191,946,364x = 413,459,316 × 413,459,316
  4. Step 4: Simplify right side
    191,946,364x = 170,948,605,987,187,840
  5. Step 5: Solve for x
    x = 170,948,605,987,187,840/191,946,364
  6. Step 6: Final answer
    x = 890,606,117.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.