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Finding the Third Proportional to 137,044,807.88 and 295,932,210.75

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Solution

The third proportional to 137,044,807.88 and 295,932,210.75 is: 639,030,947.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,044,807.88 : 295,932,210.75 = 295,932,210.75 : x
  2. Step 2: Convert to fraction form
    137,044,807.88/295,932,210.75 = 295,932,210.75/x
  3. Step 3: Cross multiply
    137,044,807.88x = 295,932,210.75 × 295,932,210.75
  4. Step 4: Simplify right side
    137,044,807.88x = 87,575,873,359,382,416
  5. Step 5: Solve for x
    x = 87,575,873,359,382,416/137,044,807.88
  6. Step 6: Final answer
    x = 639,030,947.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.