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Finding the Third Proportional to 74,300,985 and 157,592,196

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Solution

The third proportional to 74,300,985 and 157,592,196 is: 334,252,637.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,300,985 : 157,592,196 = 157,592,196 : x
  2. Step 2: Convert to fraction form
    74,300,985/157,592,196 = 157,592,196/x
  3. Step 3: Cross multiply
    74,300,985x = 157,592,196 × 157,592,196
  4. Step 4: Simplify right side
    74,300,985x = 24,835,300,240,102,416
  5. Step 5: Solve for x
    x = 24,835,300,240,102,416/74,300,985
  6. Step 6: Final answer
    x = 334,252,637.97

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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.