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Finding the Third Proportional to 74,300,971.50 and 157,592,173.50

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Solution

The third proportional to 74,300,971.50 and 157,592,173.50 is: 334,252,603.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,300,971.50 : 157,592,173.50 = 157,592,173.50 : x
  2. Step 2: Convert to fraction form
    74,300,971.50/157,592,173.50 = 157,592,173.50/x
  3. Step 3: Cross multiply
    74,300,971.50x = 157,592,173.50 × 157,592,173.50
  4. Step 4: Simplify right side
    74,300,971.50x = 24,835,293,148,454,104
  5. Step 5: Solve for x
    x = 24,835,293,148,454,104/74,300,971.50
  6. Step 6: Final answer
    x = 334,252,603.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.