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Finding the Third Proportional to 128,501,302.50 and 193,036,810.50

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Solution

The third proportional to 128,501,302.50 and 193,036,810.50 is: 289,983,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,501,302.50 : 193,036,810.50 = 193,036,810.50 : x
  2. Step 2: Convert to fraction form
    128,501,302.50/193,036,810.50 = 193,036,810.50/x
  3. Step 3: Cross multiply
    128,501,302.50x = 193,036,810.50 × 193,036,810.50
  4. Step 4: Simplify right side
    128,501,302.50x = 37,263,210,208,012,912
  5. Step 5: Solve for x
    x = 37,263,210,208,012,912/128,501,302.50
  6. Step 6: Final answer
    x = 289,983,132.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.