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Finding the Third Proportional to 147,113,205 and 312,158,854.50

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Solution

The third proportional to 147,113,205 and 312,158,854.50 is: 662,368,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,113,205 : 312,158,854.50 = 312,158,854.50 : x
  2. Step 2: Convert to fraction form
    147,113,205/312,158,854.50 = 312,158,854.50/x
  3. Step 3: Cross multiply
    147,113,205x = 312,158,854.50 × 312,158,854.50
  4. Step 4: Simplify right side
    147,113,205x = 97,443,150,442,752,176
  5. Step 5: Solve for x
    x = 97,443,150,442,752,176/147,113,205
  6. Step 6: Final answer
    x = 662,368,483.12

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.