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Finding the Third Proportional to 194,160,402 and 417,136,705.88

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Solution

The third proportional to 194,160,402 and 417,136,705.88 is: 896,181,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,160,402 : 417,136,705.88 = 417,136,705.88 : x
  2. Step 2: Convert to fraction form
    194,160,402/417,136,705.88 = 417,136,705.88/x
  3. Step 3: Cross multiply
    194,160,402x = 417,136,705.88 × 417,136,705.88
  4. Step 4: Simplify right side
    194,160,402x = 174,003,031,388,246,272
  5. Step 5: Solve for x
    x = 174,003,031,388,246,272/194,160,402
  6. Step 6: Final answer
    x = 896,181,866.11

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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.