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Finding the Third Proportional to 184,991,518,087.50 and 294,357,871,676.50

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Solution

The third proportional to 184,991,518,087.50 and 294,357,871,676.50 is: 468,381,239,927.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,991,518,087.50 : 294,357,871,676.50 = 294,357,871,676.50 : x
  2. Step 2: Convert to fraction form
    184,991,518,087.50/294,357,871,676.50 = 294,357,871,676.50/x
  3. Step 3: Cross multiply
    184,991,518,087.50x = 294,357,871,676.50 × 294,357,871,676.50
  4. Step 4: Simplify right side
    184,991,518,087.50x = 86,646,556,617,918,837,161,984
  5. Step 5: Solve for x
    x = 86,646,556,617,918,837,161,984/184,991,518,087.50
  6. Step 6: Final answer
    x = 468,381,239,927.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.