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Finding the Third Proportional to 44,799,544.69 and 97,742,315.81

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Solution

The third proportional to 44,799,544.69 and 97,742,315.81 is: 213,251,281.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,799,544.69 : 97,742,315.81 = 97,742,315.81 : x
  2. Step 2: Convert to fraction form
    44,799,544.69/97,742,315.81 = 97,742,315.81/x
  3. Step 3: Cross multiply
    44,799,544.69x = 97,742,315.81 × 97,742,315.81
  4. Step 4: Simplify right side
    44,799,544.69x = 9,553,560,300,390,488
  5. Step 5: Solve for x
    x = 9,553,560,300,390,488/44,799,544.69
  6. Step 6: Final answer
    x = 213,251,281.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.