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Finding the Third Proportional to 58,116,764.25 and 127,569,208.50

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Solution

The third proportional to 58,116,764.25 and 127,569,208.50 is: 280,020,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116,764.25 : 127,569,208.50 = 127,569,208.50 : x
  2. Step 2: Convert to fraction form
    58,116,764.25/127,569,208.50 = 127,569,208.50/x
  3. Step 3: Cross multiply
    58,116,764.25x = 127,569,208.50 × 127,569,208.50
  4. Step 4: Simplify right side
    58,116,764.25x = 16,273,902,957,316,472
  5. Step 5: Solve for x
    x = 16,273,902,957,316,472/58,116,764.25
  6. Step 6: Final answer
    x = 280,020,802.39

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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.