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Finding the Third Proportional to 236,583,768.50 and 514,827,007

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Solution

The third proportional to 236,583,768.50 and 514,827,007 is: 1,120,308,670.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,583,768.50 : 514,827,007 = 514,827,007 : x
  2. Step 2: Convert to fraction form
    236,583,768.50/514,827,007 = 514,827,007/x
  3. Step 3: Cross multiply
    236,583,768.50x = 514,827,007 × 514,827,007
  4. Step 4: Simplify right side
    236,583,768.50x = 265,046,847,136,578,048
  5. Step 5: Solve for x
    x = 265,046,847,136,578,048/236,583,768.50
  6. Step 6: Final answer
    x = 1,120,308,670.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.