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Finding the Third Proportional to 65,643,655.50 and 142,846,335

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Solution

The third proportional to 65,643,655.50 and 142,846,335 is: 310,846,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,643,655.50 : 142,846,335 = 142,846,335 : x
  2. Step 2: Convert to fraction form
    65,643,655.50/142,846,335 = 142,846,335/x
  3. Step 3: Cross multiply
    65,643,655.50x = 142,846,335 × 142,846,335
  4. Step 4: Simplify right side
    65,643,655.50x = 20,405,075,422,932,224
  5. Step 5: Solve for x
    x = 20,405,075,422,932,224/65,643,655.50
  6. Step 6: Final answer
    x = 310,846,117.08

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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.