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Finding the Third Proportional to 219,921,175.50 and 322,692,484.50

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Solution

The third proportional to 219,921,175.50 and 322,692,484.50 is: 473,489,827.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,921,175.50 : 322,692,484.50 = 322,692,484.50 : x
  2. Step 2: Convert to fraction form
    219,921,175.50/322,692,484.50 = 322,692,484.50/x
  3. Step 3: Cross multiply
    219,921,175.50x = 322,692,484.50 × 322,692,484.50
  4. Step 4: Simplify right side
    219,921,175.50x = 104,130,439,552,782,736
  5. Step 5: Solve for x
    x = 104,130,439,552,782,736/219,921,175.50
  6. Step 6: Final answer
    x = 473,489,827.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.