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Finding the Third Proportional to 196,136,499,690.50 and 280,475,528,571.50

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Solution

The third proportional to 196,136,499,690.50 and 280,475,528,571.50 is: 401,080,483,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,136,499,690.50 : 280,475,528,571.50 = 280,475,528,571.50 : x
  2. Step 2: Convert to fraction form
    196,136,499,690.50/280,475,528,571.50 = 280,475,528,571.50/x
  3. Step 3: Cross multiply
    196,136,499,690.50x = 280,475,528,571.50 × 280,475,528,571.50
  4. Step 4: Simplify right side
    196,136,499,690.50x = 78,666,522,127,462,320,570,368
  5. Step 5: Solve for x
    x = 78,666,522,127,462,320,570,368/196,136,499,690.50
  6. Step 6: Final answer
    x = 401,080,483,497.96

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