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Finding the Third Proportional to 114,849,006 and 176,531,157

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Solution

The third proportional to 114,849,006 and 176,531,157 is: 271,341,045.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,849,006 : 176,531,157 = 176,531,157 : x
  2. Step 2: Convert to fraction form
    114,849,006/176,531,157 = 176,531,157/x
  3. Step 3: Cross multiply
    114,849,006x = 176,531,157 × 176,531,157
  4. Step 4: Simplify right side
    114,849,006x = 31,163,249,391,758,648
  5. Step 5: Solve for x
    x = 31,163,249,391,758,648/114,849,006
  6. Step 6: Final answer
    x = 271,341,045.75

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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.