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Finding the Third Proportional to 58,771,881 and 137,241,967.50

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Solution

The third proportional to 58,771,881 and 137,241,967.50 is: 320,482,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,771,881 : 137,241,967.50 = 137,241,967.50 : x
  2. Step 2: Convert to fraction form
    58,771,881/137,241,967.50 = 137,241,967.50/x
  3. Step 3: Cross multiply
    58,771,881x = 137,241,967.50 × 137,241,967.50
  4. Step 4: Simplify right side
    58,771,881x = 18,835,357,643,271,056
  5. Step 5: Solve for x
    x = 18,835,357,643,271,056/58,771,881
  6. Step 6: Final answer
    x = 320,482,470.92

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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.