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Finding the Third Proportional to 196,136,499,708 and 280,475,528,598

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Solution

The third proportional to 196,136,499,708 and 280,475,528,598 is: 401,080,483,537.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,136,499,708 : 280,475,528,598 = 280,475,528,598 : x
  2. Step 2: Convert to fraction form
    196,136,499,708/280,475,528,598 = 280,475,528,598/x
  3. Step 3: Cross multiply
    196,136,499,708x = 280,475,528,598 × 280,475,528,598
  4. Step 4: Simplify right side
    196,136,499,708x = 78,666,522,142,327,521,148,928
  5. Step 5: Solve for x
    x = 78,666,522,142,327,521,148,928/196,136,499,708
  6. Step 6: Final answer
    x = 401,080,483,537.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.