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Finding the Third Proportional to 96,986,030.50 and 211,749,009.50

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Solution

The third proportional to 96,986,030.50 and 211,749,009.50 is: 462,310,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,986,030.50 : 211,749,009.50 = 211,749,009.50 : x
  2. Step 2: Convert to fraction form
    96,986,030.50/211,749,009.50 = 211,749,009.50/x
  3. Step 3: Cross multiply
    96,986,030.50x = 211,749,009.50 × 211,749,009.50
  4. Step 4: Simplify right side
    96,986,030.50x = 44,837,643,024,231,088
  5. Step 5: Solve for x
    x = 44,837,643,024,231,088/96,986,030.50
  6. Step 6: Final answer
    x = 462,310,322.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.