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Finding the Third Proportional to 98,196,673.50 and 147,295,010.25

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Solution

The third proportional to 98,196,673.50 and 147,295,010.25 is: 220,942,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,196,673.50 : 147,295,010.25 = 147,295,010.25 : x
  2. Step 2: Convert to fraction form
    98,196,673.50/147,295,010.25 = 147,295,010.25/x
  3. Step 3: Cross multiply
    98,196,673.50x = 147,295,010.25 × 147,295,010.25
  4. Step 4: Simplify right side
    98,196,673.50x = 21,695,820,044,547,604
  5. Step 5: Solve for x
    x = 21,695,820,044,547,604/98,196,673.50
  6. Step 6: Final answer
    x = 220,942,515.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.