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Finding the Third Proportional to 196,136,499,672 and 280,475,528,544

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Solution

The third proportional to 196,136,499,672 and 280,475,528,544 is: 401,080,483,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,136,499,672 : 280,475,528,544 = 280,475,528,544 : x
  2. Step 2: Convert to fraction form
    196,136,499,672/280,475,528,544 = 280,475,528,544/x
  3. Step 3: Cross multiply
    196,136,499,672x = 280,475,528,544 × 280,475,528,544
  4. Step 4: Simplify right side
    196,136,499,672x = 78,666,522,112,036,156,997,632
  5. Step 5: Solve for x
    x = 78,666,522,112,036,156,997,632/196,136,499,672
  6. Step 6: Final answer
    x = 401,080,483,457.14

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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.