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Finding the Third Proportional to 89,854,050 and 128,403,769.50

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Solution

The third proportional to 89,854,050 and 128,403,769.50 is: 183,492,319.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854,050 : 128,403,769.50 = 128,403,769.50 : x
  2. Step 2: Convert to fraction form
    89,854,050/128,403,769.50 = 128,403,769.50/x
  3. Step 3: Cross multiply
    89,854,050x = 128,403,769.50 × 128,403,769.50
  4. Step 4: Simplify right side
    89,854,050x = 16,487,528,021,809,130
  5. Step 5: Solve for x
    x = 16,487,528,021,809,130/89,854,050
  6. Step 6: Final answer
    x = 183,492,319.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.