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Finding the Third Proportional to 234,099,136 and 514,536,752

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Solution

The third proportional to 234,099,136 and 514,536,752 is: 1,130,922,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,099,136 : 514,536,752 = 514,536,752 : x
  2. Step 2: Convert to fraction form
    234,099,136/514,536,752 = 514,536,752/x
  3. Step 3: Cross multiply
    234,099,136x = 514,536,752 × 514,536,752
  4. Step 4: Simplify right side
    234,099,136x = 264,748,069,158,709,504
  5. Step 5: Solve for x
    x = 264,748,069,158,709,504/234,099,136
  6. Step 6: Final answer
    x = 1,130,922,880.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.