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Finding the Third Proportional to 125,502,030 and 183,436,663.50

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Solution

The third proportional to 125,502,030 and 183,436,663.50 is: 268,115,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,502,030 : 183,436,663.50 = 183,436,663.50 : x
  2. Step 2: Convert to fraction form
    125,502,030/183,436,663.50 = 183,436,663.50/x
  3. Step 3: Cross multiply
    125,502,030x = 183,436,663.50 × 183,436,663.50
  4. Step 4: Simplify right side
    125,502,030x = 33,649,009,516,012,232
  5. Step 5: Solve for x
    x = 33,649,009,516,012,232/125,502,030
  6. Step 6: Final answer
    x = 268,115,260.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.