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Finding the Third Proportional to 153,313,173 and 334,374,430.50

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Solution

The third proportional to 153,313,173 and 334,374,430.50 is: 729,267,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,313,173 : 334,374,430.50 = 334,374,430.50 : x
  2. Step 2: Convert to fraction form
    153,313,173/334,374,430.50 = 334,374,430.50/x
  3. Step 3: Cross multiply
    153,313,173x = 334,374,430.50 × 334,374,430.50
  4. Step 4: Simplify right side
    153,313,173x = 111,806,259,772,199,328
  5. Step 5: Solve for x
    x = 111,806,259,772,199,328/153,313,173
  6. Step 6: Final answer
    x = 729,267,143.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.