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Finding the Third Proportional to 99,716,484.50 and 153,176,729.50

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Solution

The third proportional to 99,716,484.50 and 153,176,729.50 is: 235,298,211.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,716,484.50 : 153,176,729.50 = 153,176,729.50 : x
  2. Step 2: Convert to fraction form
    99,716,484.50/153,176,729.50 = 153,176,729.50/x
  3. Step 3: Cross multiply
    99,716,484.50x = 153,176,729.50 × 153,176,729.50
  4. Step 4: Simplify right side
    99,716,484.50x = 23,463,110,460,316,172
  5. Step 5: Solve for x
    x = 23,463,110,460,316,172/99,716,484.50
  6. Step 6: Final answer
    x = 235,298,211.50

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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.