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Finding the Third Proportional to 75,407,691 and 115,303,018.50

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Solution

The third proportional to 75,407,691 and 115,303,018.50 is: 176,305,439.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407,691 : 115,303,018.50 = 115,303,018.50 : x
  2. Step 2: Convert to fraction form
    75,407,691/115,303,018.50 = 115,303,018.50/x
  3. Step 3: Cross multiply
    75,407,691x = 115,303,018.50 × 115,303,018.50
  4. Step 4: Simplify right side
    75,407,691x = 13,294,786,075,211,342
  5. Step 5: Solve for x
    x = 13,294,786,075,211,342/75,407,691
  6. Step 6: Final answer
    x = 176,305,439.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.