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Finding the Third Proportional to 195,719,913 and 310,937,053.50

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Solution

The third proportional to 195,719,913 and 310,937,053.50 is: 493,980,657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,719,913 : 310,937,053.50 = 310,937,053.50 : x
  2. Step 2: Convert to fraction form
    195,719,913/310,937,053.50 = 310,937,053.50/x
  3. Step 3: Cross multiply
    195,719,913x = 310,937,053.50 × 310,937,053.50
  4. Step 4: Simplify right side
    195,719,913x = 96,681,851,239,261,856
  5. Step 5: Solve for x
    x = 96,681,851,239,261,856/195,719,913
  6. Step 6: Final answer
    x = 493,980,657.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.