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Finding the Third Proportional to 101,119,752 and 152,742,316.50

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Solution

The third proportional to 101,119,752 and 152,742,316.50 is: 230,718,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,119,752 : 152,742,316.50 = 152,742,316.50 : x
  2. Step 2: Convert to fraction form
    101,119,752/152,742,316.50 = 152,742,316.50/x
  3. Step 3: Cross multiply
    101,119,752x = 152,742,316.50 × 152,742,316.50
  4. Step 4: Simplify right side
    101,119,752x = 23,330,215,249,786,172
  5. Step 5: Solve for x
    x = 23,330,215,249,786,172/101,119,752
  6. Step 6: Final answer
    x = 230,718,675.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.