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Finding the Third Proportional to 99,280,495.13 and 153,107,752.50

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Solution

The third proportional to 99,280,495.13 and 153,107,752.50 is: 236,118,724.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,280,495.13 : 153,107,752.50 = 153,107,752.50 : x
  2. Step 2: Convert to fraction form
    99,280,495.13/153,107,752.50 = 153,107,752.50/x
  3. Step 3: Cross multiply
    99,280,495.13x = 153,107,752.50 × 153,107,752.50
  4. Step 4: Simplify right side
    99,280,495.13x = 23,441,983,875,601,256
  5. Step 5: Solve for x
    x = 23,441,983,875,601,256/99,280,495.13
  6. Step 6: Final answer
    x = 236,118,724.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.