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Finding the Third Proportional to 58,771,920 and 137,242,051.50

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Solution

The third proportional to 58,771,920 and 137,242,051.50 is: 320,482,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771,920 : 137,242,051.50 = 137,242,051.50 : x
  2. Step 2: Convert to fraction form
    58,771,920/137,242,051.50 = 137,242,051.50/x
  3. Step 3: Cross multiply
    58,771,920x = 137,242,051.50 × 137,242,051.50
  4. Step 4: Simplify right side
    58,771,920x = 18,835,380,699,928,652
  5. Step 5: Solve for x
    x = 18,835,380,699,928,652/58,771,920
  6. Step 6: Final answer
    x = 320,482,650.56

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.