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Finding the Third Proportional to 89,854,065 and 128,403,796

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Solution

The third proportional to 89,854,065 and 128,403,796 is: 183,492,364.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,854,065 : 128,403,796 = 128,403,796 : x
  2. Step 2: Convert to fraction form
    89,854,065/128,403,796 = 128,403,796/x
  3. Step 3: Cross multiply
    89,854,065x = 128,403,796 × 128,403,796
  4. Step 4: Simplify right side
    89,854,065x = 16,487,534,827,209,616
  5. Step 5: Solve for x
    x = 16,487,534,827,209,616/89,854,065
  6. Step 6: Final answer
    x = 183,492,364.28

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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.