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Finding the Third Proportional to 332,141,089.50 and 713,572,985.75

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Solution

The third proportional to 332,141,089.50 and 713,572,985.75 is: 1,533,042,499.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141,089.50 : 713,572,985.75 = 713,572,985.75 : x
  2. Step 2: Convert to fraction form
    332,141,089.50/713,572,985.75 = 713,572,985.75/x
  3. Step 3: Cross multiply
    332,141,089.50x = 713,572,985.75 × 713,572,985.75
  4. Step 4: Simplify right side
    332,141,089.50x = 509,186,405,992,169,728
  5. Step 5: Solve for x
    x = 509,186,405,992,169,728/332,141,089.50
  6. Step 6: Final answer
    x = 1,533,042,499.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.